Oddly enough, I can't root for Tennessee particularly, although I do like Harper, it was different when Pat was the coach, really admired her, although I liked her less after "clockgate". As a Rutgers / Arizona fan I agree that Tennessee lacks the "magic".
Of your other thoughts, only Maryland is an absolute "root against". Never liked them from years ago. I don't root "for" Uconn, Vandy, Louisville or Notre Dame, but there may be games in which I favor them. I do root for Texas, South Carolina and Duke for Kara Lawson.
Also oddly, I am less and less a Rutgers fan, my alma mater, as the Vivian situation drags on, player turnover is high and I don't see a lot of games. Will never root against them, but . . .