That's called staggered spin-up. One does that for sets of HDDs, too.
Anyway, what is it good for? To not overload the PSU for one, because spin-up needs more energy, until it has reached it's intended range of RPM. (for fans & HDDs)
Another reason to spin-up high initially, to fall down to slower when up, is to overcome friction in the bearings, to get stuck things unstuck, and shake dust off. (for fans)