Nice idea, what's it look like if you make the dithering dots bigger?

If anything, to cut to the chase, what would you call the genre of games that have this as a central mechanic? I don't know any other term except information games.

Those are fair examples of instances of "gatekeeping via information", but were the games designed around that mechanic? (honest question) A game that has jumping isn't necessarily a platformer

Can you give some examples? I suspect you're seeing this as "platformers? Almost all games have jumping in them!". For example, I wouldn't say puzzle games count, but idk if that's what you're thinking of.

I don't think anyone using it really relates the term to any game, "metroidvania" just becomes a word in itself, with its own identity. Adding brainia to it, to me, divorces it from any actual game, and is just a fun way to refer to the gatekeeping via information mechanic. "Information game" is meh

Luftrausers is the best I've seen, nothing fancy either