247 has Mitchell ranked 50 and Cooper 129, until he gets on the court
That's fine but you are playing Payne with Battle and Garcia with Ola-Joseph and limited time with Payne and Garcia on the floor. No thanks. Battle and Garcia didn't work because of defense and rebounding.
The big thing with losing Battle is the focus he attracted defensively. If they can present a balanced attack with four or five guys scoring then no big deal. If they are relying on Garcia and Payne for much of the scoring then it becomes a problem.
I would never argue that our roster was constructed in a way that made us a very good team. The fact of the matter is that when Payne was sitting down, we needed to play some combination of players at the 4/5 and our choices were Garcia, Battle, Thompson and Olo-Joseph.
All of those combinations had drawbacks, we were one of the worst basketball teams in the history of the Big 10. For all of the Garcia/Battle issues that you pointed out, I'm not sure any other combo is better. Now, we can dig more into the minutes pretty easily. Like - there should never have been a minute where neither Garcia and Battle were on the bench - so the Garcia/Battle frontcourt would have played together a TOTAL of 5 minutes per game, you could have even further limited that to situations where our opponents didn't have a true C in the game (super common in college basketball).
Combos:
Payne/Garcia (15 minutes)
Payne/Battle (10 minutes)
Thompson/Garcia (5 minutes)
Garcia/Battle (5 minutes)
Garcia/Olo-Joseph (5 minutes)
This game of finding minutes for Battle at the 4 is extremely easy. I get that none of our combos were great but they weren't great for any of our positions - we were awful. My whole point is that we should have made it a premium to find situations where our better players were put into their best positions to succeed.
The more difficult question is who would we have played at the PG/SG/SF without Battle getting a ton of those minutes but that's an entirely different point to the idea that Battle moved because Garcia was so good. Battle moved because we either couldn't or refused to recruit wings and at the beginning of the season, it appeared Ben thought a PF who could shoot was roughly the same thing as a wing.