I agree 100%. There are multiple occasions where the draw favors the runner-up. But it would be difficult for me to strategize and game plan a losing effort in a district championship game just so I have a slightly better road at the regional tournament. Regardless, if you win a region title you most usually end up playing the best teams. Whether it's in the first round or championship game.
I can see the argument from both sides. Wouldn't have hurt to wait till after the championship games, but I don't really see it as much of an issue. I think most coaches are going to try and win every game no matter what. Especially to win a district championship.