I kinda wish it had ended up with something like 'exc` for exclusive, or one of the options you mentioned.
I think it would have made things easier for people to learn a helpful mental model.
It's really hard to say because of set of people for whom "&uniq T" would have helped more is non-empty. But what is the size of the set of people for whom "&mut T" actually helps more? I have no clue. But it could be large.