Yes, 3-cycles are definitely faster ... but is the orientation step associated w/ the method a counter balance? That is why I dislike 3-cycles because of the almost mandantory orientation step. Actually. 2-cycles has it con too. The starting of new cycles requires an "unproductive algorithm " to start the new cycle.
I can sub 3 w/ my 2-cycle method. I'm adding a few more changes, and I can occassionally 2:15 it ... however I normally make stupid mistakes giving me a DNF. Like disorienting one of the corners or edges. I finally did a 2:15 today w/ my 2-cycle method and I had to permute all of the pieces and orient 2 edges. Very nice shapes, easy memo. 60s memo, 75s execution.