You are confusing fan sentiment with the decisions of an AD. All that matters is how long an AD "puts up" with a hire.
In Holly's case there was not that much putting up with. She took the team to 3 elite 8s in her first 4 years and brought in high rated recruiting classes every year of her tenure. She also won an SEC title. No AD fires a coach for that level of performance and it earned her an extra year when things started going down hill in years 6 and 7.
Despite having an incredible amount of success, particularly under the circumstances, many fans hated, HATED, Holly from day one and their attacks of centered on the way she looked (as well as her lifestyle).
If you going play the history card, at least get the story straight.