That's what happens in real life though, if there is any attempt at realism. And it's an easy fix. Practice counts if you play. It's a large reason that teams do so well perenially, they have players with not only more postseason experience but more practice as well.
Especially when so many teams get killed by early entries with the farther they go in the tournament. It might balance out that team killer factor.
I don't see the argument that "rich get richer" here is a problem, and I am not a deregulation type of person. I also have not held that coaches with recruiting money over should not be able to benefit from wise recruiting/filling all schollies/ and having money over, and then turn around and start recruiting next season's players as soon as the season starts. You have the money, the recruit can't commit yet, can't even consider you and get considering credit, but you can at least (like in real life) find out about his set knowledge and potential.