Prior to their basketball breakthrough, Gonzaga wasn't really on the radar in Spokane. Yes, John Stockton played there, but in the 1980s, EWU was THE basketball program. Coach Krause and his EWU Cage Camp was legendary and considered the best basketball camp in the region by a long shot. As a player in that era, Gonzaga wasn't even in the conversation. NBC camps were a distant second if you didn't choose EWU.
Gonzaga's rise to a basketball powerhouse was a multi-decade journey. However, one could argue that had they only advanced to the round of 32 a time or two, they would be a relatively unknown mid-major.
If anything, EWU's fall into basketball obscurity (until recently) is just as interesting. Gonzaga built upon decades of progress and tradition while we seemed to forget our legacy and lose all momentum. Gonzaga basketball, and EWU football, built their programs by promoting from within the program. EWU lost that along the way until we rediscovered it a few years ago.
So, in my opinion, Gonzaga had more in common with Whitworth in terms of athletics and wouldn't have competed with EWU for football market had they kept the program. Obviously, multiple decades of a program may have resulted in a different outcome, but we can't compare the Gonzaga marketshare of today with who Gonzaga was for most of their athletic history.