There are many coaches out there that can do a much better job than Holly Warlick. I respect both Maria Cornelius and Debby Jennings, but I doubt they have any power to influence any coaching decisions especially if boosters and alumni get involve. The University of Tennessee is well known for women's basketball and there has to be some boosters and alumni willing to voice their concerns because they see a sinking program. I have no idea why Brenda Frese absolute hate Tennessee. I heard she continued to recruit Candace Parker after she enrolled at UT. If offered the job, I think Jeff Walz would seriously think about it. Even after a terrible season, Tennessee is still #2 in attendance nationally. Tennessee has the resources, facilities and fan base for any strong coach to be successful.
You are correct that they have no power to influence a decision but thats the wrong question. The question is what can they do to make the new coaches life miserable in Knoxville? Quite a bit I would argue.
Also I didn't say Brenda Friese hated Tennessee (although she might--I don't know) but that the same group that doesn't like Jeff Walz equally despises Brenda Friese.