Starship is literally contracted by NASA to land people on the Moon.
For HLS NASA requirement was capability of delivering 2T of cargo to the Moon.
Starship offers 100T or more.
Edit: I was referring to the Starship HLS variant linked to
Starship is first and foremost designed to deliver people and/or 100T of cargo to Mars.
It most likely never will be according to criteria from commercial crew program, because it does not have and will not have an escape system.