Let's not lose sight of the fact that this is a game and ALL the rules are made-up. There's no natural law of physics that determines how a Basketball tournament is supposed to be set up. You play the game you're given and you try to win under the rules.
In the history of sports, I don't think there's ever been a champion that some butt-sore loser didn't complain wasn't legit because X player got injured, or X team wasn't in, or X player shouldn't have been eligible, or the refs made a bad call...
If Tech wins the tournament it'll be just as legit as any other. We played (and hopefully won) the games we were given.