I see the reference to "team" on this page (and the pop-up when setting up those properties), but I don't believe they are referring to teams in a sense of the actual team functionality within HubSpot. I believe at this time, this is account-wide for each user.
The only thing similar that I am aware of is the Custom Records View by Team within Enterprise.
I like your idea and maybe it's on the horizon already. I'd recommend posting it to the ideas forum or seeing if something already exists.
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