UConn’s men have a similar counterpoint. They won the national championship after a 9-9 conference season. They won the BE Tournament anyway, but before they got an auto bid they won a tournament in Maui over Michigan State and Kentucky and won at Texas, all of which were in the top 10. The Big East was exceptionally strong that year, so 9-9 wasn’t so bad (although diappointing), but one more close loss making them 8-10 wouldn‘t make them less capable of a championship.
The NCAA does have a rule for most sports that you can’t be below .500 overall and get an at large bid. This comes up in softball from time to time, when the SEC is really tough and a team that is, say, 24-26 will squeeze in a doubleheader late in the year with some local low major to get up to .500. But a rule like that for just a team’s conference record would punish only teams from the very strongest conferences in the country arbitrarily, so it almost certainly wouldn’t pass the ncaa legislative bodies.