Using the same logic, isn't watching a movie in a cinema a scam since I don't have anything concrete to show for my money after 2 hours?
Maybe I don't mind not having any music of my own to show for years of subscription to a music streaming service. I have listened to a ton of music over the years, some of which I might never have considered trying out if it had required me to pay for it first. What matters more is the enjoyment and the utility I have gained from having on-demand access to any song I want when I want it. I don't have to agonise over whether a song is worth me paying for it or not. I have already paid my subscription, so no harm in listening to it.
Is this worth nothing?
Yes - its worth a huge amount to many, myself included.
People who buy DVDs like to patronise people who go to the cinema about how they are idiots who don't understand the concept of ownership, and would only ever buy DVDs if they could just get their heads around that concept.
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Wow. That's a bit shaky on the concept of ownership.
Also you don't seem to realize most people's music taste tends to freeze as they age. I'm in my 30's now, I add maybe 50 songs/year to my music library (mostly discovered by listening to the radio when my wife drives since she loves top 40). I have thousands of songs legally ripped from CDs I bought many years ago.
Let's say been age 15 and 30 I bought 2 CDs/month at $10 each (paying double the cost I would have to subscribe to a service). That means I've spent $3600 on my library and I will have it forever (that's what is meant by ownership). I don't ever have to pay again to listen to these songs. And now I pay under $50 a year to keep my library up to date with every single song I want to add.
You between age 15 and 30 will pay $5/month until you're 20 (assuming student plan) and then $10/month until you're 30. Total is $2100, so you're ahead of me. But at 30 you actually have zero music in your own library. You can keep paying $180/year just to hold onto your library and add whatever few songs catch your interest. And you will never get out of that hole. When you're 50 you'll still be paying for streaming while your smarter peers will be listening ot all their favourite songs for free. And for discovery, don't forget free radio and free tiers aren't going anywhere -- the labels want you to discover new music and they wouldn't shoot themselves in the foot that way.
The 30 year old has a total saving of $1500 which is a good amount to go out and buy a significant proportion of the music they might still listen to, so they wouldn't necessarily have no music if they spent the same total amount of money as you.
When I'm 50 I'll still be paying $10 a month to listen to all the music I want, while you'll still be forking out $10 for each and every album.
You don't seem to realise that not everyone sees it the same way as you.