I think that rabbits are also like cats -- constantly grooming, can be very aloof if they want to be, but affectionate as well. It really depends on the bunny.
I've had some friends who have males and they can't get them to settle down, even after neutering. Then, they got females and the females are saints, at least compared to the males. And I've seen it vice versa.
I think rabbits are like most pets, the more time you spend with them (the younger, the better), the more likely they are to be the kind of pet you want based on how you interact with them.