Well, I could go on about the huge differences between boxing punches and break shots if you want. lol
All of these sport comparisons are apples and oranges to me, but it doesn't negate the point I was making.
The cast in fly casting has everything to do with line speed. Yes, loop management and line control are pivotal is achieving great distance, but the same physics will tell you that you don't propel a 1 3/8 oz shooting head 161 feet without applying a wee bit of force to it.
The vid I posted is of an elderly woman giving a public demo of ordinary every day fly casting, and was just posted as an example of her perfect timing. No one recorded her casting record, but I can tell you that a record distance cast would have required her to garner all the force in her diminutive body, but in a smoother and more progressive development of power throughout the casting stroke.
The best men casters of her day beat her in competition (but they were few and far between), mostly by virtue of their greater muscle mass and height, but by paying careful attention to her entire body (she was an accomplished dancer in her youth) she was able to develop a style that use all of the necessary muscle in the most coordinated fashion for the job at hand. Timing is everything IMHO. And it can be learned.