Looking at a pix of the Hozan tap, the shank is smaller than the thread so certainly it can be run on through.
Tap has a taper and partially cuts threads on the first 6-8 threads, but after that the threads are full sized
and no further cutting will occur. The tapered section should be all the way through the crank, though
most pedals have threaded sections that are not as long as the cranks are thick.
Please don't chase out my cranks with your understanding of one brand of taps are and then assumed to be what other taps are. Andy