I'm gonna raise my hand here and say I prefer the PS3 version. I've played some of it on 360, completed it many years later on PS3. The extra scenes added throughout the game are interesting, though as stated in the OP, non-canon. However, the controls are much better on PS3 than 360, especially when driving. This seals the deal for me as the superior version. As for framerate issues on PS3, I only noticed them seriously at times that didn't matter, usually when picking up an item and you're given a close up of it. It's annoying but since it doesn't happen during combat it doesn't break the experience.
I personally have never gotten the PC version to run properly. I hear that if you can get it running right with all the mods installed it's a dream, but it's not been a go for me. If you can get it running with those mods, it's arguably the best version.
I can say that on the PS3, it's a fun game to Platinum that really rewards you for doing all there is to do in Greenvale. If you don't care about such things and can't get the game running right on PC, then using a reliable PS3 emulator that can help offset some issues is definitely a viable alternatie.
This is not a bad game on the 360 and you may have some serious fun with it there, just be warned that some parts that are very frustrating had controls streamlined on PS3 and PC. I've not played the Switch version, so I have no comment on that particular port.
However you play the game, enjoy! Go in as blind as possible and just enjoy every moment in the weird and wonderful world of Deadly Premonition.