Well the anthems are flexy, wider waisted and centre mounted. More suited to jibbing.
Whereas, the troublemaker is a non-symmetrical ski, pretty much price point, but is probably more suited if you'll be spending a lot of time on the piste or in the pipe or on some larger jumps, I've ridden the troublemaker but not the anthem, it was stable, really poppy and held an edge well, and in the pipe it was amazing, but it's still a price-point ski. Depends how much park you do, and your experience?