I've watched people play it, and the battles look pretty... meh to me. It's what's commonly called an SRPG or Strategy RPG. Games like this usually have battles that take place on a grid, but also one that's normally a bit larger than what you see in South Park. (South Park is something like a 4x12 horizontal grid.) The genre kinda got pushed with the
Ogre Battle series on the Super Nintendo, which culminated in the
Tactics Ogre game. The director of that game worked with Squaresoft to develop
Final Fantasy Tactics, which is a rather beloved non-main entry into the series. (Although, the world used in Tactics was the same as the one in Final Fantasy XII.) My biggest complaint about the South Park game is just the size of the grid... it seems so limiting when it comes to tactics, but beyond that, it looks fine.