And you think all 353 are competitive, pal?Your logic is off. The base probability of winning a championship depends on the number of teams you're competing against, not the number of players per team. There are 353 Division 1 basketball teams. There are 134 FBS football teams. Ergo, it's more than twice as hard to win championships in basketball than football. The numbers were almost certainly different in Wooden's day, but the general point still holds.
In Wooden’s day there were maybe 10 top teams. In Saban’s era there were about 15 top teams. So much for your numbers theory.