I played 1 on Switch and 2 on a Gamecube emulator, they are amazing games and so far 2 is my favorite. If the save states are an issue you can treat the in-game saving system as the only option. Personally, I do that for most games, but I confess I abuse save states when there's something I consider "bullshit" lol
Discussion
The dungeons in original Metroid are waaaay more intense without save state. You get "unlucky" in a weird spot and it's all over