Stop Saying 'My' Team & 'My Direct Reports'

I'm not sure why it bothers me but I have a real problem when a leader says 'My' team. It strikes me as some kind of ownership.

They may technically be direct reports but aren't they really people you 'directly support'? That works better for me. 'The people I directly support' instead of 'my direct reports'.

Semantics, I know. But there is something here. I work with a great leader and I have NEVER heard him say 'My Team' or 'My Direct Reports'. Not even a slip. Not once. 15 years. Not ever. That means something.