We'll be fine as long as Geno is here. Afterwards...well, things will possibly not be so nice.
WCBB is a coaching-dominated variant of the sport; it's the most important drawing force, which is why a legend like Geno (and Pat) can draw excellent talent from so far afield. If you don't have a legend as your coach, you have to rely on other drawing factors. Here's how UConn does on those.
*Geographical proximity to talent: UConn fares poorly here.
*Quality of facilities: Great basketball practice facility. Mediocre arenas. We'll call this a wash.
*Prestige of the school's name: "I mean, hello, it's [Insert University Name]!" UConn has some name draw specifically within the world of basketball, but overall it still lags behind the main name draws. Places like Duke, North Carolina, Texas, UCLA, etc.
*Prestige (and income potential) of the athletic conference: UConn doesn't score points here.
Those are the only ones that will draw long term. There are other things, like historical excellence, that will draw on a temporary basis, but not a permanent one. (see the Louisiana Techs of the world)
Long story short, UConn's hand is not great in the post-Geno world. Over the long term, I actually think that the UConn men will survive this environment better than the women. There's a lot of talent to go around on the men's side, so even after the P5 have had their fill, there's enough talent left for some non-P5 teams to reach near-elite status. On the women's side, talent is so sparse that there's rarely more than a dozen teams worth talking about in any given year.
Our worst case scenario is worse than Tennessee's worst case scenario, because they still edge us on geographical proximity and with their athletic conference. Needless to say, I'm hoping that we don't hit our worst case scenario.
edit: Things that can help us avoid the worst case scenario include 1. UConn gets accepted to a P5 conference, and 2. Lighting strikes twice, and we get another young, charismatic coach with the ability to make the most of his or her players, recruit well despite the mediocre conference, etc. And then he or she would have to decide to stay even with the big offers from P5 schools start coming in. In other words, another legend coach.