Bama won 3 Rose Bowls and tied 1 within a 10 year span (1926, 1927, 1931, 1935). So almost half. I didn't mean Alabama had won half of all Rose Bowls up to that time (22 of them from 1902 to 1936 -- the 1936 Rose Bowl being the end of the 1935 season). But half of the ones within the narrow time span leading up to why the AP poll was started. So I was wrong by a little -- it was almost half (4 out of the prior 10).
It's similar to the BCS. No one at the end of the 2012 season (after the 2013 BCS championship game) said, "Well, Bama's not really dominating the BCS. Bama has won only 3 of all 15 of 'em." Far from it. All anybody could talk about was that Bama had won 3 of the past 4 (2009, 2011, & 2012). That's the main argument that led the BCS folks to announce that 2013 would be the last year of the BCS to make way for a playoff in 2014.
I argue that 8 decades ago sports writers were having the same conversations of Bama fatigue in the then recent Rose Bowl games. So when Charles Sherman had his personal poll after the 1935 season, a year that Bama won the Rose Bowl yet again (the 1936 bowl), the rest of the sportswriters decided to go with his idea for rankings the next year and determine the champion without the Rose Bowl. Thus, the AP poll began in 1936.
I want some of whatever you are smoking.