Maybe you should watch it again because your first point isn't necessarily accurate. During the infamous stretch run when UK had three shot-clock violations (really two shot clock violations, one of which came after two full-clock possessions that led to multiple offensive rebounds and three total possession shots), you will see that two of those possessions were dictated - and ultimately negated - as the result of Andrew and Aaron refusing to get the ball down low. On one possession, Aaron refused to throw the ball into Towns who, isolated on the low block, had worked ferociously and successfully for position (at that point, a good 11 seconds left on the shot clock). Aaron instead threw the ball back out to Andrew, which led to his disastrous 1-4 isolation that Cal was forced to call as the shot clock wound down.
The other possession saw Andrew take the ball to the right wing, look down at Towns, and unfathomably decide not the make the entry. This resulted in another episode of Cal flaying his arms into the air while cursing Andrew and a Tyler Ulis cameo with Andrew relegated briefly to the bench.
So for all the talk about Cal's failures in the game, one would be well-served to re-watch the game as I did. I found that some of my initial memories were in fact wrong, and that I too had bought into a group think myth that really didn't depict the realities of who should shoulder the majority of the responsibility.