Phil Donahue was yanked from TV in the early 2000s specifically because he was anti-war, according to notes from MSNBC. Being anti-war had a similar social stigma at the time to being anti-woke or anti-CRT today.
Check it out: https://en.wikipedia.org/wiki/Phil_Donahue
My thought is that there could be multiple overlapping reasons Tucker was fired. The Dominion lawsuit is one. Another is that Tucker is anti-neocon and antiwar, but generally Fox pushes people like Sen Graham and Mike Pompeo as wisdom sources.
Also he criticized the Republican party a lot.
So Tucker went against the grain in many ways on Fox.