I haven't played Bamboleo. Both Bausack and Hamsterrolle involve dexterity and good judgment of balance. What Bausack offers that the others don't is appeal for artistic types. It's as much fun to make a beautiful or unusual tower as it is try to optimize for the game objective.
Bausack actually has instructions for four games using the pieces. That might help to keep it from getting stale.
Plus you get the opportunity to ask people if they'd like to play with your Bausack.