A better analogy would be if Geno only had to win the AAC, and then beat the NEC and MAAC champs to get to the Final Four, while no other conference, no matter how good, could send more than one team.
There's some truth to this. But it might be overplayed. Both the WCC (San Francisco, and the WAC (which at the time had Arizona and Arizona State in it) were pretty strong conferences. They also had to go through some pretty strong Jerry Tarkanian led Long Beach State teams.
In 1964, UCLA beat Seattle (the NCAA runner up 6 years prior) by 5, and then San Francisco (3 Final Fours in the previous decade, and two titles) by 4. They didn't run them out of the gym or anything. The only game they won in their whole tourmanent by more than 10 was against Duke for the title (98-83).
In 1965, UCLA beat a BYU team ranked by the AP as
#9 before the tournament in the S16, and then that San Fransisco team again. They beat everyone in the tournament,
except San Francisco, by more than 10. San Francisco was ranked in the AP Top 10 from the beginning of the year through February.
In 1967, UCLA beat Wyoming and Pacific. Here, you're entirely right. Wyoming was terrible, and so was Pacific.
1968, they beat New Mexico State by 9 in the S16 (a New Mexico State team that was ranked in the Top 10 for a week in the season), and then trounced Santa Clara. But New Mexico State was pretty good throughout the year.
1969, they beat the same two schools... only this time Santa Clara finished the season ranked
#3 in the AP Poll.
1970, they beat a Long Beach State team coached by Jerry Tarkanian and that finished the season ranked in the Top 20, followed by Utah State. They beat them both pretty badly.
1971, they beat a BYU team that finished ranked in the Top 20, followed by Long Beach State again, who was again in the Top 20.
1972, they beat Weber State (they sucked), followed by Tark's Long Beach State team again who finished the season
ranked #5 (and got steamrolled anyway).
1973, they beat Arizona State, who won a strong WAC and finished
ranked 16, followed by a San Francisco team that was ranked most of the season.
By 1974, it wasn't as strongly regionlized anymore. They beat Dayton (ranked in the
Top 20) and a decent San Francisco team, from a WCC that had teams ranked periodically throughout the year.
1975, they beat a Michigan team that was periodically ranked in the Top 20 in the first round, a weak Montana team in the S16, and then a Top 10 Arizona State team.