It was still regionally-based for all of Wooden's career. UCLA always played in the West region. And only 1 team from each league made it. Independents, and there were a lot of them in the East, might have had an advantage getting in, because they didn't have to fight their way through a league.
UCLA would make the FF by beating the likes of Santa Clara/San Francisco/Long Beach State. One year toward the end of Wooden's run, Dayton was shipped out West, I assume because they couldn't find a 4th deserving team out there. I remember I was shocked when the Flyers almost beat UCLA--maybe a 2-5 point game, could have been in OT.