Aren't the ponies themselves considered anthropomorphic?
I mean anthro as in the style of humanoid bodies with animal features. Yes, the characters are anthropomorphic, but they clearly look like they're just ponies. Not some weird pony/human combination.
Magical ponies that can speak. Nope.
Anthropomorphism is applying human features to animals. If they are animals that can talk, technically they are considered anthropomorphic.