Hmm, that seems strange.
I couldn't find anything about that on the website so I googled 'AZCOM public speaking' and this page comes up, like you said:
(they won't let me post a link at the moment)
But then when you navigate to that area by going to the website home page > programs and admission > arizona osteopathic medicine, you don't see anything about that.
I guess that means it's probably an old webpage that's still hanging around, and there aren't those special requirements anymore?
I also don't see anything about that on the accepted checklist, and I called earlier today to ask what's up about other prereqs and they didn't mention anything.
Might be worth a call though!