I don't see the evidence that, generally speaking, it was that much more difficult to emerge from the East region.
- In 1964. UCLA's easiest game of the tournament was by far the final vs. Duke (won by 15 points), compared to wins over Seattle (5 points), San Francisco (4 points), and Kansas State (6 points) to get to the final.
- In 1965, UCLA's toughest game was in the regional final against (once again) San Francisco, in an 8-point win. UCLA then proceeded to trounce Wichita State by 19 and beat Michigan by 11.
- In 1967, UCLA did dominate its West Region but they still won both of its Final Four games by 15 points (over Houston and Dayton). Dayton had beaten UNC by 14 in the semifinal game. So how tough was the ACC, really, if UNC couldn't even stay close to a team that in turn couldn't even stay close to UCLA?
- In 1968, UCLA's closest contest was its first game vs. New Mexico State (58-49). In the Final Four they absolutely demolished Houston by 32 and UNC by 23.
- In 1969 their toughest game was against Drake (Midwest Regional champ) by 3 points in the semifinal. In the final they dominated Purdue by 20.
- In 1970 they were extremely dominant and beat Jacksonville by 11 in the final. ACC champ NC State lost its very first game to St. Bonaventure by 12.
- In 1971, UCLA's closest game was a 2-point win over Long Beach State in the regional final. They beat Villanova and Kansas in the Final Four by 8 and 6 points.
- 1972 was a rare year where UCLA had a struggle only against a team from the East (a 5-point win over Florida State in the final).
- In 1973 they dominated everyone by double digits.
- (1975 was the first year that at-large teams were selected, so not really germane to the topic at hand.)
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So overall, based on the NCAA tournament games that UCLA played -- which ones they dominated compared to which ones were close -- there's little to indicate that the other regions were clearly more competitive. If that were true, we should see a clear consistent pattern of blowouts in the regional games and close struggles in the Final Four, and that's just not the case overall across all 10 of the title years.