UConn hasn't gotten an invite because they haven't been serious about football until recently.
Can we all agree that college football coaching salaries have been going up? Of course they have by a lot, but, until recently, not at UConn. Look at this run:
Randy Edsall: $1.55 million in 2010. Pasqualoni hired at $1.5 million in 2011.
Paul Pasqualoni: $1.7 million in 2013. Diaco hired at $1.5 million for 2014.
Bob Diaco: $1.8 million in 2017. Edsall hired at $1 million in 2017
Randy Edsall: $1.3 million in 2021. Mora hired at $1.5 million.
So, in 11 years, the UConn head coaching salary was flat during a time of surging head coaching salaries. And, Mora was the first head coach since Edsall 1.0 to get higher pay than his predecessor. (Yes, the hiring of PP, Diaco, and Edsall 2.0 were a disaster, but the administration bears some fault for not raising the comp.)
I understand that the UConn AD was in a tight financial position during this time, but football was the driver of conference realignment and UConn had to find a way to invest. I do believe UConn is investing in football now.