That pretty much shows what I was saying (except it being Bama and not Florida).
There are a few nationally recruited players that all schools go after, and region is not as important. You see some of them on both rosters from California for Bama, and Florida for OSU, and some Texas names. Considering the sheer number of blue chippers in those three states it is not surprising that you find players from there on all the big name program rosters.
For the most part though, most of them are from the region of the school. OSU is filled to the brim with Ohio athletes and a few from the surrounding region.
Bamas is a little more varied, but still far more centered on the Southeast.
So I would say again, except for the big recruits that everyone goes after, they are pulling from a different pool and not in direct competition.