Sure, Amiga Inc could just TAKE the Team AMIGA name for themselves. It would only cost them thier soul.
As noted above, at one point the founder died and Gary Peake took over administration of the team. It put him right where he needed to be to affect positive change in the Amiga community. I sincerely doubt he would have been in the right place at the right time to have become part of the formation of Amiga Inc. otherwise.
The Team AMIGA mailing list is now quite lively though only with a few members, mostly (IMO) due to the bellicose nature of a few select inDUHviduals.
This does not mean that just because Amiga Inc is bigger than they are that they can just waltz in and take whatever they want. It's bad enough that big companies are more or less doing that already -- witness the numerous domain name land grabs out there. As far as that goes, what is left of the Amiga community really does NOT need that kind of thing to become commonplace, because the entire Amiga community, all rolled into one, would amount to a bug on the windshield of any of those corporate juggernauts out there.
If anything, I was amazed that the Team AMIGA suggestion didn't get jerked out of contention immediately. I can only assume Gary wasn't involved with the poll so didn't actually know that the name had come up as a possibility. Otherwise, I would EXPECT him to have done that out of respect for his past.
If he was aware, and did nothing ... I don't know what to say. Highly disrepespectful.