The gap between Houston, Temple and Memphis, and Pitt, WVU and Syracuse, when it comes to basketball, is pretty thin. And when you look at recruiting, Houston, Philly and Memphis destroy the cities of Syracuse, Pittsburgh and the state of West Virginia by so much it isn't even close. Syracuse, Pitt and WVU have no natural advantages in basketball. They were who they were solely by virtue of outstanding coaches, conference affiliation, and in Syracuse's case, great history. Those programs could never afford to have a Josh Pastner learning on the job, because they don't have a steady stream of local talent to provide a floor for the program.
I think there is an 80% chance that Pitt drops back to regular losing records without the NYC pipeline it had while in the Big East. Travel is a lot tougher on hoops than football, so I would expect WVU to slide back, especially when Huggins health problems finally catch up with him. I think Syracuse will remain a national power after Boeheim is gone, although it could take a small step back.
Houston is going to be a powerhouse in the Big East if UConn, Louisville, Cincinnati and the Catholics stick around. The basketball talent in Houston is spectacular, and Houston has as good a history for hoops as any school in Texas. Even a mediocre coach will be successful there. Memphis is already a very good program and Pastner is still learning. Dunphy is a mediocre recruiter and has Temple very competitive. SMU and UCF are the problems. I don't see either as more than a pin cushion, despite the Larry Brown experiment.
Re: Depaul: Wainwright was one of the worst coaches at any major program in the last 20 years. It will take some time to recover from that. Even the third tier HS talent in Chicago is good enough to comprise a bubble team with any kind of decent coaching.