Unquestionably, no team has capitalized on successful tournament runs like Uconn. As you note, 5 national titles in 30 years is unbelievably impressive. Extraordinary really. That said, when considering the "best programs" or the "Blue-Bloods," I don't think it is fair to only look at titles. Despite winning 5 national titles in 30 years, Uconn has also missed the tourney entirely 10 times over that stretch (33% of the time). Incredibly, they won 5 national titles in only 6 trips to the Final Four! (For comparison, Kentucky went to the Final Four 4 times in a row from 2011 to 2015 and only won 1 title.) Even more impressively, two of those titles came when UConn was a 4-seed and 7-seed! Their 4-seed in 2023 was actually their highest seed in over a decade, yet they won 2 titles during that time.
Extraordinarily impressive tournament stuff and the absolute best tournament record of any team in the country in the tourney over the last 30 years, bar none. Not saying at all that they don't deserve to be called a Blue-Blood, but I do think it is worth noting the extraordinary nature of their success in context.