Well, the PS2 + PS3 games I rarely want to revisit are all ready to play on my PS3 Fat.
Dunno about PC, but on PS5 (and likely PS4) you will be able to download the PS1, 2 and PSP titles to play without streaming. PS3 is the only one where only streaming is possible. Sure you may already have all the games you want to play on midia or otherwise, same as me, and won't sign to the service, same as me, but still it is possible to play on the hardware without any streaming artifact. Now if there will be any improvement to these legacy title remains to be seem.
duduspace11 "Well, since we are estimating costs, Pokemon Red/Blue did cost Nintendo about $50m to make back in 1996"
Mr Puggsly: "Hehe, I said good profit. You said big profit. Frankly, not losing money is what I meant by good. Don't get hung up on semantics"
Azzanation: "PS5 wouldn't sold out at launch without scalpers."