Maybe, but I don't think it has to be anything as nefarious as that.
You can get a lot of the same results via bias based on dominant narratives.
No one has complained more about Alabama's (lack of) holding calls over the years than me. Could be super secret orders to refs from cigar-smoking men in shady back rooms of the SEC office, but it could also be Alabama's reputation for killer OL play clouding judgement.
As supporting evidence, I've frequently offered a different phenomenon based on my own team, both to try and preclude my bias and also to point out the specificity I see, and also how it doesn't have to be Bama or UGA (major brands). For a long time LSU had a sterling reputation for outstanding DB play, and rightfully so. That said, there's many incidents to point to where it seemed obvious LSU dbs were allowed to get away with more/earlier contact than other units. Some of these instances were very important to the games. I don't think the refs were executing top secret orders on our behalf so much as the perpetual media drum of superlative Tiger DB play eventually had an effect.
I'm reminded of the British journalist from WW2 stationed in Germany--I forget his name at the moment. He had access to London papers, American papers, news sources from all over the place, due to his profession and outsider status, and he was very well aware of the wider scope of information. Yet he noted later that though he knew better than the average German citizen, he said he was shocked to find how much doubt the constant drip of Nazi propaganda created in him. He would later write about the effectiveness of constant messaging, even on those who knew they were being gaslit.
I posit something similar is often going on here. If you live in a space where LSU DBs are always getting drafted in the 1st round for years and making genuinely great plays every game, there can come a point where you're not consciously trying to tip the scales in their favor, but you fail to side against them in close calls that you'd probably ding another DB group for, because, after all, these guys are widely known to be great, they routinely make those perfect plays where they get there at exactly the right time to break up the pass. Or Alabama's OL is always so great without holding that it's harder to catch when they actually do it, because after all, those guys don't need to hold to play great. Insert whatever applies to UGA here, you get the idea.
I offer nothing definitive, but I am hesitant to ascribe to malice what can be explained via incompetence and "popular thought ethos."