You'd almost wonder whether the NCAA would send UConn to a different region just to make it "fair" to the #1 in Bridgeport. Providing a #3 or #4 seed UConn with what is essentially a home court advantage in Bridgeport in my mind is tough to justify, but I fully admit that is the skeptic in me. I don't really know how you fairly seed UConn this season given the adversity that the program has faced. I would grant that anyone who wins the national championship does have to go through a gauntlet of games -- but if I could get a #4 Seed in Oklahoma, I'd much prefer that to having to face UConn in Bridgeport. I understand that UConn fans are willing to travel to Bridgeport, and that the NCAA does tend to reward the flagship programs who provide revenue. UConn also benefits in this instance from having a weaker conference that doesn't have other teams that would prohibit them from going to Bridgeport -- which is what tends to happen to other teams in the ACC, Big 10, Pac-12 as the closest regional typically goes to the best team from the conference. In 2019, Stanford was shipped off to Chicago as a #2 seed due to this instead of getting to play in Portland.
I wouldn't say that it's necessarily true that teams end up in the regional closest to them. In 2019, #5 seed Gonzaga was placed in the Albany regional despite Portland being available. There are certainly examples where this is true. Also in 2019, #6 DePaul and #5 Marquette were placed in the Chicago region. #9 North Carolina managed to get placed in Greensboro.
All this is to say that the committee has some tough decisions ahead -- and we don't really get any insights into their thinking beforehand as I'm not aware of them doing a Top 16 reveal this year AFAIK.