I'm just going by memory here but I don't believe Utah state has ever been a single digit seed and was left out of the tourney with a 25-3 record and a top 25 ranking few years ago. They may not be your best example.
You have a good memory--because that happened over a decade ago in 2003.
But, just look at recent years. You'll see 11 seeds going to Bucknell, Middle Tennessee, St Mary's, Belmont (5 or 6 losses). That's Patriot, Sunbelt, West Coast and Ohio Valley.
The real eye-popper is in 2012. Colorado St. out of the MWC got that 11 seed even without winning their weak conference. Their record? 20-11. OOC games? Duke, Stanford (11 losses, NIT bound), Colorado (12 losses). They beat Colorado and lost the other two.
The 11 seed is really the last seed before the low-major tourney winners get seeded.
This is why I think the AAC conference champ gets the 8th or 9th seed just like Creighton in 2013. Autobid: 27-7 out of the Mizz Valley.
In the 3 years I looked at, there was only one argument against my position on this, and that's what happened to Oregon in 2013. They won the conference tourney, and with a 22-8 record, they ended up a 12th seed somehow. Wins over UNLV and Nebraska OOC, a loss to Cincy. Pac12 wins over ranked Arizona and UCLA.
So, if UConn wins the tourney and ends at the 11th or 12th seed, then Oregon is the precedent. There is no other. All other champs of conferences like Atlantic10 or Mizzou Valley or any of the P5s get higher seeds with 7 or 8 losses.
27-6 New Mexico out of MWC in 2012: 6th seed
26-8 Memphis out of CUSA in 2012: 8th seed
27-5 St. Mary's out of WCC in 2012: 7th seed
Creighton in 2012: 8th seed.
23-9 Butler out of Horizon in 2011: 8th seed
27-6 Old Dominion out of Colonial in 2011: 9th seed.
And then this:24-9 Gonzaga out of WCC as 11 seed in 2011.
So, with 8 or 9 losses, you could end up like Gonzaga and Oregon at 11.
But with 6-7 losses, you're likely a 7-9 seed. Look at Memphis with 8 losses in 2012. OOC wins over Miami and Tennessee, losses to Murray St., UCF, Southern Miss., UTEP.