Here's an interesting analysis, using stats from Kansas from 2003 to 2016. The stats show how many future NBA players were on the Kansas roster for each season, and how far KU advanced in the NCAA tournament. They average 5.2 NBA players per season.
They end up advancing to: 1 National Title, 1 National Runner-up, 4 Elite Eights, 2 Sweet 16s, 3 Rounds of 32, and 2 First Round losses.
Kansas basketball roster loaded with future NBA players
2003-04: 4 NBA players, Elite Eight.
2004-05: 6 NBA players, First-round loss.
2005-06: 5 NBA players, First-round loss.
2006-07: 7 NBA players, Elite Eight.
2007-08: 7 NBA players, National title.
2008-09: 6 NBA players, Sweet 16.
2009-10: 8 NBA players, Round of 32.
2010-11: 6 NBA players, Elite Eight
2011-12: 3 NBA players, National runner-up.
2012-13: 2 NBA players, Sweet 16.
2013-14: 5 NBA players, Round of 32.
2014-15: 6 NBA players, Round of 32.
2015-16: 6 NBA players, Elite Eight.
A few conclusions: (1) Most players, even at KU, don't make it to the NBA. (2) Even with great players, it's hard to get past the Sweet 16.
Thanks, this is a fun post to see.
I've always maintained that you only need a couple NBA level players to win a NC, although occasionally there's a juggernaut team (NC in 2005) that has more future pros, and really makes it tough on the rest of the field.
Off topic, but one of my all time favorite games, and this is strange to say as an Illini fan, was Wiscy taking down an absolutely loaded, and I mean LOADED, Kentucky in the national semi-final. Those weren't just future pros, those guys were going pro that year.
Couldn't resist looking it up. Kentucky had the #1 pick and 3 more lottery picks, in addition to a couple second rounders. FOUR lottery picks! (note that the loaded North Carolina team we played also had four lottery picks. Depressing --most years we wouldn't run into that.)
The converse holds, of course, that you can have a ton of talent and not make a deep run in the tournament, as your post above shows.