I agree, it would obviously pay short term dividends, but I worry about the long term addition of Gonzaga. The previous comparisons of schools like Duke and UConn before Coach K and Calhoun don't hold for me. Duke was good before Coach K, but Coach K was there for so long with so much success that he made Duke a massive brand. They will continue to be successful after him because of that brand. Duke probably has the largest following of non-alums of any college basketball team. UConn is a major public university in the northeast. It doesn't need Calhoun to draw eyes and build success.
Gonzaga is neither of these. Few has not elevated them to the level of Duke, and is unlikely to. I have met one Gonzaga fan in my life. People watch them because of their present success, but would not continue to watch them if they drop off after Few. Also, like Fishy said, Washington and Washington State are the large public universities in Washington. Gonzaga doesn't have that benefit that UConn has beyond Calhoun.