Good stat based analysis.
I'm not sure we need to look past TO% to fix the majority of our problems. I counted at least 10 absolutely horrible in bounds and into the post passes in our game against Arizona. Not all of these resulted in turnovers but they were all potential turnovers waiting to happen. Getting out of that game with only 22 Turnovers was lucky from what I saw. Sloppy ball handling does not win games. Arizona put up 25 fast break points on Illinois' 22 turnovers.
Not adjusting for tempo or opponent, Illinois has a TO% of 22.6%, good enough to put us in the bottom 31 teams in the country. To put that in perspective, the 50th best team has a TO% of 12.3%.
Source. Illinois is averaging 20.7 TO per game, if we lowered our TO% to 12.3% that would be roughly 11.3 TOs or ~9.4 fewer per game.
The good news is that I think there's a really obvious place that these turnovers are occurring and it should be easily fixed in practice. Feliz and Ayo are each averaging 4 TO per game and Giorgi and Kofi are each averaging 3 TO per game. What's happening, is we are poorly passing into the post and not feeding our bigs in a way that puts them in a position to easily score. We need to draw up some more effective ways to deliver the ball inside without losing control of it. Just cleaning up our entry passes and working on the positioning of our bigs should account for most of those 9.4 extra turnover per game.
BBV is also averaging 4.9 Turnovers per 40 minutes so a little coaching would go a long way for him and could help unlock his potential to be used more.
In the Arizona game, if Illinois dropped it's TO% from 22.6 to 12.3 we'd go from 22 to 12 TOs. That would cut the 25 fast break points to ~14 and result in 10 additional shots taken by Illinois. If Illinois converted 1 point per each of those 10 attempts, that's a 21 point swing and there's your game right there.