Aside from the intensity of the UConn/UT rivalry for the two schools, wasn't the real significance of the annual games that it captured the attention of otherwise casual or normally disinterested TV viewers? This boosted some general interest in women's hoops. There might be a game here or there that might capture that interest, but the unusual thing was that these were two programs that sustained the excellence of their programs for a much longer time than any other teams in the era when TV coverage blossomed because of that rivalry. The causal fan knew it and the rivalry caused some continuing interest outside of UConn and UT and fans and avid women's hoops fans.
Nothing has replaced that sort of relationship in a sport that truly has very few casual followers. If, say UConn, continues its excellence for an additional long time, then maybe some other opponent will show up who can match it and sustain it so that fans would be interested in watching the two play every year. Baylor has some potential, but they have a bit to go after BG graduates to show longevity. Stanford has that possibility and Tara's teams have come back to prominence after a little bit of a slide. ND has to show, as well, that it can be a perpetual FF team before the casual fan gets excited about some annual rivalry. In their case, relative to UConn, I'm not so sure that an in-conference rivalry gets as much juice nationally. Obviously in the men's game, the Duke-UNC games get a lot of national interest. Speaking of which, neither of those two women's programs has captured the fan imagination sufficient to create a game of casual fan interest.
Right now, a UConn/Baylor match up is attractive, but it's all about Griner. When UConn and Tennessee were playing, I'd wager that at its height, the most the casual fan knew about the teams was the name of the university and it didn't matter all that much to make them want to watch who was on the team at the time because they knew the teams were both likely to be very good. They played against each other with a passion and had visibly passionate coaches. Maybe I'm all wet about this, but I don't think the casual fan would be interested in a UConn/Baylor game if BG were not known to be on the team and that most of them have no idea who Sophia Young is. Women's hoops, while generally deeper and more competitive than even ten years ago, still is not a widely popular sport. Maybe it never will be. But having a widely identifiable annual rivalry is a big deal in that sport.
BTW, gotta love Tony C., but I'm pretty sure a few teams not named UConn have won the last two NCs and this year has a pretty big obstacle in the way.