How is taijiquan real-world push hands different from Chinese wrestling, and why is martial arts wrestling not

There is, but the role is not very big. Pushing hands belongs to a kind of simulated real combat in martial arts (especially Taijiquan), which requires two people not to throw or top, dip and stick together. The main purpose is to check for mistakes in punching. Push Hands is about keeping the center of gravity of one's side and destroying the center of gravity of the other side. I am afraid that it is similar to wrestling for real combat.