Not if laser guns are a part of the race. Then it's just competitive.
It is all good fun and laser tag until the AI manages the interests of your bank, your insurer, the stock market, everyone, and you desperately need a liberal government to enforce serious penalties for increasingly complex loopholes that the AI finds in a few seconds.
It's difficult to characterize that as aggression, especially if the system has no built in notion of harm or other-like-me.
That is what is actually scarier: Violence as paperwork.