To answer your question, yes, the .45 ACP has been used as a firearm to hunt with. I really think that the chosen launching pad (sig 220) doesn't make much difference.
That said, there are better cartridges for the job, by far. The little .357 mag is a better hunting cartridge than the .45 ACP IMO.
It'll do the job at bowhunting ranges (like under 25-30 yards) as long as you put a good bullet in the right place (no FMJ's).
It's legal to use in Arizona, but then so is a .25 ACP. All the regulations dictate is "centerfire pistol". I think they expect hunters to use common sense, and if they don't then they likely don't know enough about hunting to pose much threat to the animals.
Mi dos centavos.
Daryl