I was under the impression I could assign a host to multiple teams, but I don't seem to be able to in the UI either in the host details page or under the teams tab?

a host can belong to only one team

Giving visibility/control of the host to multiple members? Or am I misremembering and people can be a part of multiple teams

users can be part of multiple teams, correct

Hosts are only on up to one team which is accessible by both users on that specific team and global users.

this makes more sense, given our previous conversations, thanks!