What you mentioned fall under the umbrella of fortunate/unfortunate. If Sue were a term to describe the weather it would be liking having the same word for cloudy or clear skies.
I don't make a big deal out of attractiveness unless there's black holing that goes with it. People get way to worked up over it IMO.
I'm part of the "old guard" so to say. I consider mental disorder to be Anti-Sue or just plain bad execution if done improperly. I'm guessing the angst boom that started in the early aughts (2000s) made it that way; that's just my own speculation though.
I'd highly recommend looking at the work of if you think the term Mary Sue is misused too much.
I'm aware of imbalance too but the huge role is most striking to me.
IMO, people focus too much on flaws. Flaws are not a ticket out of "Sueness". Despite what some say, clumsiness can be a "valid" flaw in the right context.
Just my personal speculation, but I think a lot of misunderstanding comes from people trying to apply tests to characters that they are inappropriate for (e.g. realistic in a fantasy setting). It's like doing "400 questions to ask your character" on a child character that's meant for adult characters and having 80% of the answers being N/A. Then again there's always trolls that like to stir up crap.
I'm working on a far more refined character balance test. Send a message if you want details as I don't want my link out in the open.