I dont get why people believe that.
Sony so far hasnt shown any competent interest in having BC. They dropped the PS2 for PS4 initiative pretty fast, havent bothered with PS1 emulation and they just used a open source PS1 emulator for their PS1 mini lol
I believe Sony will lack BC and thats will be their big fuck up nextgen.
MS on the other hand has everything in place now with beautiful 360 and OG Xbox Emulation and for MS you can really say that you will be able to XboxOne games on the next Xbox too.
You don't seem to understand why BC is important. And no, it has nothing to do with PS1 emulation.
PS1 emulation would be nice, but Sony really has no reason to spend money on it because there is no money in it. However, there is a lot of money riding on PS4 BC on the PS5. Perhaps more than ever. It is all about two things; GaaS and PS+.
These are two things, because they are technically separate as they are not compatible with each other. One does not require the other.
GaaS tend to not require PS+ because they are free to play, but it is important that the continuity is maintained between generations in order to keep people invested in the digital goods they already purchased. People are less likely to quit a GaaS game if they feel they would "lose" all the money they already spent. Third parties are the main suppliers of GaaS and Sony want to keep the likes of Fortnite and Overwatch on their side.
PS+ is, separately, a steady money earner for Sony for barely any work. Sony has no interest in watching the subscriptions drop off as people get rid of their PS4s, and perhaps never re-subscribe again. Sony want to keep people subscribed, and the best way is to keep their digital games playable on the PS5. So just as with the GaaS, the continuity between generations create a false sense of wealth that would prevent players from ending their subs.
And one final point, is that BC of PS4 games is a way for Sony to partially transfer their domination to the next generation. it is a way for Sony to not having to be on an even playing field, to have an unfair head-start over Xbox. This is more important than anything, and easier to do that any silly notion of physically releasing PS5 earlier than Scarlet.