CYOA videogames as a custom vidya experience concept?

I'll be honest. I never heard of any of these things before.
when you suggest these things, are they tools used on games you already have? I'm missing where this all fits in.

...

really, please explain this to me. I have no idea how this works.

The closest I can even think of what you're describing would be an RPG like FNV. The game had multiple endings, a l
bunch of different companions, and many different ways to play through the game.

What you're explicitly describing will probably never happen because "different story every time" would take effort and inspiration and a decent amount of money and dev-time which jewish publishers would rather spend on cinematic experiences. Just look at The Walking Dead games. Supposedly your choices matter, but in reality they don't at all. It's just a movie where you can make tiny deviations here and there from the predefined railroad. Look at Mass Effect. Look at BioShock Infinite. Look at pretty much any game in existence that has marketed itself on "your choices matter". 99% of the time they don't.

Liberal Crime Squad has this feature.

ugh just like everything after mass effect 1.

You want tabletop RPGs, or Pen & Paper Roleplaying games OP. That's what you're describing.

No, I don't really think so. what I'm saying is what if: "left4dead1 but with many more presets and options and customizations before the game even starts" as an example.

maybe I get to choose where I need to get to, instead of the hospital constantly? or rather a more open world (but not shit) (yea, I know…) left4dead.

just an example, doesn't need to be zombies.

in what sense?

It's hard to explain, but it presents you a series of questions which determine your stats, skills, party, house, and loadout. The game is an open-ended satirical rougelike where you play as "ends justify the means" SJWs.