As a casual observer it appeared to me that Houston came out of the game going fast at both ends at the start. I didn't see the same level of intensity second half. When going hard early it was quite common to find two houston players on the ball where ever it was for a second. Obviously someone is open for a second or two, but in passing the ball 1) Purdue can't get on auto mode to swing the ball without the read that the Purdue player is open for certain. 2) The speed and pressure Houston provided EARLY left open looks "IF" the ball can swing quicker than the players without getting into auto mode swinging the ball as it will get intercepted. 3) Getting the ball inside will slow their perimeter D down, but I look for them to hard hedge Braden with two possibly and swarm Trey with coverage leaving perhaps a skip pass to the weakside. However, team speed is there for Houston and what is open for a skip with most teams may have less time to effectively skip pass than against most team. I think if Purdue can handle the first line of defensive pressure from Houston Purdue can score inside and possibly shift Houston to doing a few digs leaving the 3 ball open as well as quick swings of the ball for Purdue, but not in auto mode.
Houston also has a physical front line and so they are going to put pressure on Trey to defend as well as scoring. Purdue may need a few more minutes from Berg if pressure on Trey to defend puts fouls on him or he gets gassed. Also, Braden will get a LOT of attention from Houston as Houston as well as all teams start with how to defend Braden. As you mentioned, Purdue's CJ and Giccari must be effective in not turning it over, helping Braden against the pressure, score when open, and defend well against Houston. Cam and Myles need the extra possessions off boards, the athleticism on D and being ready with hands and feet to receive the ball and shoot for that second or so they are open...and if a very hard closeout...drive the ball under control and make the appropriate pass or easy shot if there.
Houston scored at will it seemed behind the arc and were also effective with their big inside. Cryler was good as you stated!