A Mohawk-3-Mohawk into Hanyu's 4S is easier than a RBI-LFO Choctaw into a 3-turn (with "rhythm" if you will) that Chan does into his opening quad.
Chan does not do a Choctaw into his opening Quad. HUH? He does a crossover and a simple RBO to LFO step and the 3-turn.
For the 2nd quad, Hanyu does a Choctaw and then an extra step and then a forward 3-turn into his 4T. Chan does a Choctaw (RBI-LFO) directly into a 3-turn (no inbetween step like Hanyu) into the quad.. oh, and that Choctaw is preceded by Chan's RFO-LBO rocker too.
Chan does not do a choctaw into his second Quad either. Again, HUH? He does the rocker and then takes 5 seconds to jump, using the exact same RBO to LFO change of foot and 3-turn entry as the first Quad. Hanyu does a Choctaw and then takes half the amount of time as Chan to jump.
And the point is that the primary maneuver leading up into the sequence, ie flying counter, can compromise Chan's speed a lot worse than the pirouette can compromise Hanyu's speed because it is a harder maneuver.
Hanyu isn't only doing a pirouette, though, so stop saying that. And yeah, the flying counter is difficult, but Chan does two crossovers after it; that greatly reduces the difficulty in terms of how it affects the jump. It's not a jump entrance but an inbetween. The entire combo of Hanyu's movements can reduce his momentum since they are all linked together and go right into the jump, that is the point.