This is a very extreme rarity - and when it appears to have happened, if you dig deeper, you usually find that there were some other issues - something that was (or was going to be) profoundly limiting in the future.... or in a very, very few cases a coach opts to pursue some 'lifetime dream'.
Tuberville had some issues at Texas Tech, his wife was from the Cincinnati area and Tuberville was very close with the new AD at UC.... and UC offered him a more money - - plus there was & is the potential that UC moves into a superior conference (looking bleak right now)
A classic case of walking away from the top of the mountain was basketball's Gene Bartow - who left UCLA to start the basketball program at UAB.
Difficult to envision a current high level coach who would be in anyway inclined to follow this path & decide to step into the HC role at Rutgers. I would fear the guy who has been away for a while - too often either 'the heart is willing but the flesh is weak ' or they are being haunted by all the things that they miss - but then quickly come to remember all the reasons they left.