If you go back to the Big East days, when UConn was having good seasons, we never got the highly recruited kids out of Connecticut or Massachusetts. Top 10 recruits from CT and Mass by year signed by UConn:
2007: CT: #5, MA: #6, #7 and #9
2008: CT: #5 and #8. MA: #5 and #6
2009: CT: #5, #7, and #9. MA: #8 and #9.
2010: CT: #10. MA: #3 and #6.
2016: CT: #6. MA: #3 and #7.
2017: CT: none. MA: #8.
2018: CT: #7, #9, #10. MA: #9.
2019: CT: none. MA: none.
2019 seems to be off the trend as 2018 looked like past Big East classes. We'll see what happens in 2020.
One thing to remember. In 2011, the NCAA limited schools to 25 signees per season, although you can manipulate that number with grey shirts, early enrollees, etc. This should mean more players are available for the non-top 25 schools, not less. I would think top schools would have been more willing to take an under the radar kid as you can bring them in and then kick them out if they don't develop. In 2008, here were the largest class sizes: Miami 32, Alabama 32, Nebraska 32, Kansas St. 32, Virginia Tech 31, Ole Miss 30, Auburn 30.
If you go back to the early 70s, I don't think there were scholarship restrictions. In 1973, Pitt had 76 recruits! (Pitt was 1-10 in 1972 and was 12-0 and ranked #1 in 1976. The large recruiting class turned around Pitt's football program.) The NCAA enacted the 95/30 rule which limited annual football scholarships to 30 starting in 1974 and 95 starting in 1978. Schools signed all kinds of players back in the day and they were able to find them. (And this was before Rivals, 24/7, HUDL, and Twitter!)
End of the day, I think Edsall's strategy of recruiting based on speed and projections and then developing the players is still a sound strategy today given UConn has not been able to recruit 4*s and 5*s, even with recruiting tapes all over the web. The problem with his strategy is that it is a multiple year rebuild and the fan base is not patient after the previous 2 regimes.