The MacRumors video you posted thought so.
And they gave benchmarks showing the M2 faster than the M1 when doing real world file transfers here:
And you're "witnessing" people arguing with you over details that haven't been released yet because you're insisting on them doing so.
Is websurfing a legitimate use case or not, because you seem to keep saying it isn't but then keep talking about chrome tabs. When people point out to you that 256GB of storage might be a bit light for video editing anyway, you argued against it by highlight the 2TB model Apple benchmarked.
This is the problem with this whole thread. You want to hear a certain response back, and when you don't hear that response you're not sure how to handle it and give contradictory replies.
And is it the speed of the SSD you're concerned about or the space because if your question is whether the 256GB Mini will store more than 256GB, then no it won't. If your question is whether the 256GB M2 Mini will be noticeably slower in typical use than a 256GB M1 Mini, the answer is only in the most narrow of circumstances. Likewise, versus the 512GB M2 Mini, only if you have a way of doing sustained access to the internal drive with no other bottleneck which is just not very common.
For example the Blackmagic tests that everyone is pointing to says that you can write to the M2 drive at 2305MB/s on the 512GB drive and 1362MB/s on the 256GB drive-- that's abstracting away the CPU and everything else and only pushing random data to the drive without doing any work on that data at all. So let's say you have a near empty drive with something like 200GB free and then want to fill it with random numbers. Ballparking at 1000MB per GB, because I don't know what's using what standard, it takes a minute more to write the file to the 256GB drive-- and then your drive is full. When you ask yourself how many times you're going to write a 200GB file on a 256GB drive but do no other work on the data, you start to realize how little time in your day you're losing to this.
You're very unlikely to see a difference with transferring files to external drives because only the fastest TB3/4 drives will exceed the 1400MB/sec mark anyway. And how much time does someone spend pushing files onto and off of an internal drive? If you're doing it more than once a day, and if your external drive is faster than the internal one, then just work off the TB drive.
I have yet to see a legitimate benchmark on swap, but I've seen plenty of people assume swap is affected because of the Blackmagic benchmark. That's a nonsense comparison because the Blackmagic benchmark tests writing files 1-5GB in size and a swap memory page starts as 16 kilobytes and then is compressed before paging out. I don't know one way or the other but we could just as easily assume that the RAID controller for the dual flash system slows down the small transactions relative to the single flash system.
Chrome is bit of am aberrant use case when it comes to swap-- I'd consider it more like caching than swap-- but what can we expect? I use Safari, but when I open a MacRumors tab it seems to be about 500MB. When I switch away from that tab the memory usage gets reduced to something less than 200MB. That probably gets compressed before paging out but let's just assume it doesn't. It'll take a 512GB M2 0.073sec to read that 200MB back from disk and a 256GB M2 0.135sec for a difference of 62ms. It takes you about 100ms to blink.
All of this has been hashed over in the past... That MaxTech nonsense worked everyone into a lather but honestly unless you're trying to create a benchmark to emphasize the difference, it's not life changing.