The "antropic principle" for explaining the fundamental properties of our iuniverse needs as a preamble that multiple universes with different properties exist. There is absolutely no evidence for that. Therefore the "antropic principle explanetion" for the fine tuning of our universe falls short as a scientifc explanation. As theoretical physics does not rule out the existence of different universes (yet) one may choose to believe in it. Like one may choose a religion.

The real quest of theoretical physics regarding any natural constant or shape of natural law is described in this bonmot supposedly given by Einstein:

"What I really want to know is, wether God had any choice in creating the Universe."

It is the question, wether our Universe is the only one possible and its precise properties the only one logically possible.