Although I haven't personally played Angry Birds...
It would seem that the size of the bomb and the angle it travels in are all character related (how much damage you can do it in a specific time/angle of trajectory your moves send things) as well as skill related. I would say just based off that, there will be a lot of variation/strategies/depth to it.
It hasn't specified if it's a single player mode or multiplayer either. Good chance it can be played in pairs based off what we got in Brawl, and maybe, just maybe, even four player availability for them (if sakurai's going to keep pushing boundaries in the mini-game department, which he's all but directly doing).
Also a chance just like other target modes, they'll have multiple different variations (stages).