Little League baseball probably does take more parental involvement/organization than basketball at a young age.
There are a bunch of factors that are more important, but the notion isn't way off base I guess.
More than football?
Maybe not, but like I said, there are other factors that are more important (like football being more popular). But the parental involvement aspect could simply be another hurdle once you get past the main hurdles.
It depends on the area I'm sure, but in many areas (like where I've been), youth football is generally run by the schools while youth baseball is pretty much an entirely parent run organization not affiliated with the school or city.
For a football team, you might only need 3 parents heavily involved for every 40 kids with the local government footing much of the equipment bill. A youth baseball team might have 3 parents for every 12 kids with kids buying much of their equipment.