Two things i love about accessibility. First more people get to play the games. and second it usually lets you turn off those stupid ass mini puzzles and quicktime events developers love so much for some reason.
I played through Spider-Man 1 with the puzzles enabled for a few hours before turning that crap off. I'm very glad they gave the option to do so because they are annoying and tedious at best and downright frustrating at worst. They absolutely grenade the pacing and flow of the gameplay. There are numerous puzzle games out there I could play if I wanted puzzles; I don't want half-assed, janky, pace-destroying puzzles in my action games.
I agree with your last statement, but I actually really enjoyed the puzzles in Spider-Man 1. The story-based ones were never difficult, and for the optional ones, I just waited until I was in the mood for some puzzles, and then blew through them all in one go.
But if you don't like puzzles at all, I understand turning them off.
I also love when it lets you emphasize the parts of the game you enjoy, so you can e.g. make exploration challenging and combat trivial if that's your jam.