This power shift typically occurs around a significant coaching chage. Maybe that's coincidental, I don't know. We'll go back about 50 years which is a decent sample size.
Dickey was hired in 64. Bryant was already clearly entrenched at Bama. It took Dickey a couple of years but Dickey won his last 3 against Bama going 3-2-1 against the Tide while at UT.
Battle replaced Dickey and it didn't take long for Bama to start winning again after Battle took the 1st meeting.
UT won in 1982 under Majors which was Bryan't last season. Bryant was replaced by Ray Perkins which wasn't exactly a home-run hire and UT won 3 out 4 during Perkins' tenure.
The Tide took control of the series when Bill Curry took over. Curry was there for 3 years and handed it off to Gene Stallings and those two went unbeaten against UT between '87-'94 with the '93 game ending in a tie.
However, when Fulmer took over full-time in '93 the butt kickings to Bama were over. I mentioned the tie in '93 and there was a close loss in '94 where UT was clearly out-manned but kept it close. Fulmer proceeded to wear Bama out other than a bad game in '02 and one of the worst college games ever played in '05.
In 2007, Saban came to Tuscaloosa and we all know what has happened since he's been there. The average score has been 36-11 in that timeframe.
Is Butch the next coaching change to change the fortunes in this rivalry? I hope so.