When I attended Tennessee we had no women varsity sports but the Vols were SEC champions in football, basketball, swimming, track & field and tennis and we were competitive in baseball. The reason was we had tremendous coaching staffs...Dickey, Battle, Rohe, Bussard, and Mears. The AD was Bob Woodruff.
Right now I would say the coaches, with the exclusion of Barnes, are not in the same category as the ones I mentioned. Good coaching brings SEC championships and thus good talent.
The Lady Vols basketball and softball teams are basically the only top tier representatives of the University of Tennessee. And the BB team hasn't been to the final four for years.
You included Battle? Did'nt you guys run him out of town. Dickey ditched us for Florida after losing to them in a bowl game. Mears was a good coach particularly with Ernie and Bernie, but he only won three conference titles finishing 9th as his highest ranking.