But the key is that great is not a birthright. All the funding in the world couldn't make Tom Crean (without Dwyane Wade) a winner. Bill Guthridge and Matt Doherty can toil in mediocrity because they're an old grump and a haircut, whereas Roy Williams is a hall of farmer.Coaching absolutely plays a role. But as somebody noted above, the great programs will ultimately get great coaches because they have great resources: facilities, budget, deep pocketed donors, big fan bases and history. They might have a few down years with the wrong coach (North Carolina with Matt Doherty) but eventually they will make the home run hire that restores them to their rightful place in the universe. Similarly a lower tier program might find a great coach and rise to a higher level for awhile (Marquette and Al Mc Guire) but they eventually sink back to their normal standing after that coach leaves.
Urban Meyer will win anywhere. Chris Petersen has won anywhere. Matt Doherty could only win when the stars were aligned. McDermott was a hero at Northern Iowa before he established a top program at Iowa State.
Bill Snyder did the impossible at K-State because Bill Snyder is a genius (and perhaps other things).
My examples are football because I know football better.