As an outsider - the Big East is a better conference than the AAC for UConn in numerous ways variously cited above and is, in fact, an excellent conference in a number of sports.
Someone above brought up the issue that some pundits consider the Big East a 6th power conference in women's basketball. Probably true, the American was among the better as well. With the occasional exception of the "best" team in select conferences, there is no real quality elsewhere.
Those who say UConn would run over any conference are not wrong - but the other P5 conferences usually have at least 1 team (in any given year) that would give UConn a competitive game and could win. But it doesn't really matter, as others noted Geno's scheduling ensures you are "ready" for the tourney every year. Look at the OBE, one of the best conferences ever (as someone noted) - how many years did UConn not win the conference (answer, very few).
All that said, I would not count on the BE getting highly competitive in WBB. I don't think the money or will is there. At some of the schools it never was. And they lack much tradition. DePaul is clearly the best team, but remember, they were in the OBE as well.