PlayStation Store gets PS3 games: is PS5 backwards compatibility next?

Rumours of a PlayStation version of Game Pass have increased, with what seems to be a new approach to backwards compatibility on PS5.

Sony Demos PlayStation 5 Backward Compatibility

The Case Against The Digital-Only PlayStation 5: Backwards Compatibility

Does anyone think I should get this PS3 model. Since this will probably be my ultimate PS3 because it has a 1TB HDD, and a PS2 and PS1 backwards compatibility. : r/PS3

PlayStation 5 - Wikipedia

PS6: Features We Want To See From Sony's Next Console That The PS5 Doesn't Have

PS5, Xbox & Nintendo Switch Backwards Compatibility

PS3 games are being listed on the PS5 store but don't get your hopes up for backwards compatibility

Sony Confirms PlayStation 5 Is Not Backwards Compatible With PS3, PS2, And PS1 Games - Game Informer

PS3 Games Spotted on PS5 Store, Fuelling PS Plus Rumours - But It's Nothing New

PS3 Games Reportedly Appear on PS5 Store - IGN

PlayStation 5 Isn't Backward Compatible With PS1, PS2, or PS3 Games

No PlayStation 5 backwards compatibility for PS1, PS2, and PS3 titles and very fake-looking hefty PS5 retail box gets overshadowed by Miles Morales concept design - News

Can I play my PS4 games on PS5?