No, that will not affect AC. It sounds like you will have a Client/Server domain network setup no matter how you do it. If your company is going to host the servers off site, then they are smart enough to have all networks and not P2P.
If you are running P2P, by definition, you won't have a server/client setup. So, I doubt your company would make you have a P2P. That would make absolutely NO sense whatsoever.
But, AC, will either reside on a server either in house (sounds doubtful) or off site, or it will run on a central "main computer" in a P2P. Any of those configurations will allow AC to run.
