This is not as far fetched as you might think. You should go do some research. Outside of Kentucky there are 3 titles. Arkansas and Florida(TWICE). Im not sure why you keep talking about Arkansas in your argument because they haven't been relevant since 95. It wouldn't surprise me if Duke has just as many Final Fours as the entire SEC besides UK of course. If they don't the SEC probably doesn't have them by much.
There are three SEC teams who have been good for a long time who simply haven't had any success in March beyond the first two rounds. Vanderbilt, Alabama and Tennessee are all competitive nationally more often than not, but only Bama has made it to the Elite Eight. Kind of like Clemson times three.
The following schools have produced the following players...
Alabama: Robert Horry, Antonio McDyess, Latrell Sprewell, Gerald Wallace
Arkansas: Sidney Moncrief, Joe Johnson, Corliss Williamson, Todd Day
Auburn: Charles Barkley*, Chuck Person, Wesley Person
Florida: Mike Miller, Joakim Noah, Vernon Maxwell
Georgia: Dominique Wilkins*, Willie Anderson, Vern Fleming
LSU: Shaquille O'Neal, Pete Maravich*, Bob Pettit*, Chris Jackson
Miss St: Bailey Howell*, Erick Dampier, Jeff Malone, Dontae Jones
South Carolina: Alex English*, Mike Dunleavy
Tennessee: Bernard King, Ernie Grunfeld, Dale Ellis
* Hall of Fame
How many Hall of Famers has Duke produced?