If measuring results is what you're after, then you might be right. If the experience of music is more important, then it cannot be 100 % true, since many, many people prefer vinyl because it simply sounds better to them.
There are many potential reasons someone would prefer vinyl as a format over CD such as:
1> Many records tend to produce even order distortion which sounds pleasant or "euphonic" to the human brain. This is why tube distortion effects for electric guitars sounds "good" to us humans even though it's clearly distorted and doesn't represent reality (like an acoustic guitar). Thus tube amplifiers tend to sound "good" when they start to overload into distortion (guitar effects are simply taken to extremes) whereas solid state amplifiers and digital processors when over-driven tend to produce odd order distortions which sound "harsh". Now clearly "high fidelity" sound reproduction should be reproducing the original signal and not introducing new distortions (pleasant or unpleasant) in the process, but the fact is that they can and do contribute particularly when there isn't enough power for a given speaker or device. Even when playing nothing at all, you hear surface noise which can be comforting for some in what might be an otherwise potentially very overly quiet almost spooky room AND it helps cover up annoying sounds you DON'T want to hear (outside noises, etc.) between tracks. I use a noise maker when I sleep for the latter reason. It's like staying at a hotel next to Niagara Falls (a good memory for me and thus comforting).
In short, yes, vinyl does sound "better" or at least is a better experience to many people. That cannot be denied. The arguments start when one side or the other tries to to venture into pseudo or non-scientific "reasons" why something sounds better that is closer to a religion than a fact. "It just sounds better" doesn't explain WHY it sounds better. People want to assume it's because it's more accurate. Studies have shown just the opposite. People often PREFER less accurate because even order distortion sounds "warmer, fuzzier, thicker" and background noise helps isolate you from overly quiet or overly noisy background environments and thus puts you at ease/comfort and more likely to enjoy yourself if those things bother you. For those that surface noise "bothers" rather than comforts, they will have the opposite experience and be annoyed by the extra noise and prefer the velvet silence of CDs and digital in general.
2> Turntables involve the listener in the music reproduction process in a way that digital simply doesn't. With a CD or a digital file, you just hit play and click on a track. You're done. Turntables require you to get off your butt and change the side halfway through or to move the stylus to a different track if you want to skip something. There's also rituals for cleaning records and aligning and maintaining your system to peak efficiency. This gives you something to do and makes you part of the process (i.e. a clean record is a happy record listener and a well maintained system sounds better than a poorly maintained one). You also get to pick from a large assortment "flavor" of cartridges that distort the sound differently (and thus change the sound when you get sick of it or feel you can afford "better specs").
CDs and digital files offer NONE of this except to buy the most expensive DAC possible (although the snake oil industry has tried really hard to invent ways to "improve" things; try looking up Shatki stones, green CD pens, CD mats that always make the player behave WORSE by loading down the motor), massively overpriced interconnect cables that essentially do NOTHING audible, etc. etc., but yet even a multi-kilobuck DAC probably only differs from a $20 one by perhaps 0.05dB at most at any given frequency. In short, you don't hear any difference and you tend to feel ripped off by the process where getting a good cartridge can improve specs by several dB at crucial frequencies (or at least change them). Cartridges are basically high priced disposable equalizers. The sad thing is that the same people who would never touch a graphic or parametric equalizer in their entire life gladly buy different cartridges to get a "better "sound. They don't seem to realize they are mostly changing the frequency response (although tracking ability and inner groove distortion can really be improved a lot).
In short, turntables make audio into a HOBBY and not just a pass-time. Digital just cannot compete as a "hobby".
3> Artwork. LPs have huge surfaces on the jacket covers for album artwork. CDs have tiny little artwork areas. Digital files may have NO artwork or a tiny little image displayed or whatever. There can be no doubt that pop/rock album artwork is a big part of a given full "album" and not seeing it detracts from the experience. Now you CAN make a large artwork on a projector or large TV if it's detailed, etc., but you can't hold it in your hand the same way. It lacks realism to the touch, etc. It tends to become a song instead of part of an album in a way that is hard to put into words. Alone, this might mean little. Add it to the above two and you've got a regular SYSTEM going on that propels a certain percentage of the population to just "prefer" vinyl.
4> It's HIP. You cannot discount the power of pop culture and groups like so-called Hipsters that suddenly take a liking to things like Pabst Blue Ribbon (that most people rejected long ago as sour macro beer) and the cultural/social "Me Too cuz it's cool daddy-O" effect and peer pressure that comes along with it. People tend to congregate in PACKS (like animals) and it's hard to stand alone in the crowd that is all saying Vinyl is "Cool" and MP3s are for your parents (all the while their parents' parents listened to vinyl, but hey Gramps is a way cooler Kat than Dad ever was! Don't be like your parents, but RETRO generations beyond their generation is COOL. Actually, your parents may have listened to vinyl too, but perhaps they rejected it as OLD and HORRIBLE and so your drive to like it is even greater. Or perhaps some respect their parents and choose vinyl because they DID like it. All these things drive the psychological factors in someone liking "something" just because they do.
To quote the current Queen of Pop (Katy Perry) pushing retro as
vintage in "This is How We Do":
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......
Playing ping pong all night long, everything's all neon and hazy
(This is how we do)
Chanel this, Chanel that, hell yeah
All my girls
vintage Chanel baby
This is how we do, yeah, chilling, laid back
Straight stuntin' yeah we do it like that
This is how we do, do do do do, this is how we do
......
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Now tell me someone like Katy Perry doesn't affect huge MASSES of people (Chanel's sales probably went through the roof with that lyric but then Chanel Chance is pretty awesome on a woman, but not "vintage" like say #5). Ping-Pong? Since when is Ping-Pong COOL? Not my generation (and she's only 10 years younger than me), but my mother's generation? Yeah, she was into Ping Pong. "Popular" seems to come in circles. I never got it, really (I've always tend to chosen things that are less popular like stick shifts over manuals, computers when they weren't cool, Pink Floyd when everyone else in my generation was listening to Bon Jovi, etc.)
In summary, there's more than one reason a person could prefer vinyl and a potential collective effect as well. Well maintained vinyl on a good system does sound very comparable to CDs to my ears and clearly some people get something else out of it from the above or possibly something I haven't even thought about as well. But I've never seen ANY scientific test that proves vinyl sounds more ACCURATE than digital and it's been proven time and time again in double blind testing (typically using ABX switches) that a digital recording of a record player is indistinguishable from the actual record player. The opposite is NOT true (vinyl distorts sound in all kinds of ways and is far less accurate than CD audio.
Now if someone still PREFERS vinyl over CD despite the accuracy issue, well who is going to argue with opinions and preferences? The problem is when these people start telling others that there is something inaccurate or missing or "wrong" with digital because their ears tell them so. Yeah, your senses are easily fooled. Rose-colored glasses present a look preferable to some people. That doesn't make them accurate or preferable to everyone.