That's not the same thing as visual snow. Or rather, it doesn't have to be. Lots of people do see phosphenes with their eyes closed, like "prisoner's cinema". Human vision is wild.

Apparently not, but it also seems like everyone does, lol

Maybe it's like a dimly lit room. Some people can fall right asleep while others will say they can't sleep unless it's completely dark, but it's the same amount of "distraction" either way.