Greetings..
Taiji is a martial art.. punching, regardless of its composition, is prevalent in every style of Taiji i am familiar with.. too often the literal translation of Taiji manuscripts is favored over the simple common-sense intentions of the authors.. much of the mistaken translations are based on analogies that are culture specific.. ie: "eye follows hand", where hand represents "intention" not the literal hand (considering we have two hands it could get confusing).. "focus on nose", where nose represents "breath", unlike some instructors that would have you cross your eyes during Wuji.. "avoid double-weighting", where double weighting represents force against force (weight against weight).. "4 ounces deflect 1000 pounds" represents a skill potential, if you stand in front of a 1000 pound charging bull and apply four ounces of deflection, well, you get the picture..
To assert that Taiji doesn't utilize punches is to be detached from its potential and lost in the mental exercises of trying to itellectualize it.. Taiji is known by doing, by testing the principles in controlled and uncontrolled situations.. here, you will find the correct interpretation of the classics because the experience is universal, the writings are cultural..
Be well..
TaiChiBob.. "the teacher that is not also a student is neither"