To set the record straight:
A "flutz" as it has been dubbed, is a Lutz that has turned into a flip by not properly taking off. It can deceivingly look like a Lutz because the skater starts out doing a Lutz, but ends up cheating because it easy to turn the jump into a flip without even thinking.
All jumps take concentration. The Lutz is one of the most difficult jumps to perform because of the take off - It takes off from a LBO edge (with toe pick assist), turns, then lands on the RBO edge.
I never mastered the Lutz. I could do a great Flip, but my Lutz lacked height. I did not turn it into a Flip, however.
I am not sure about why more men are able to perform a true Lutz compared to the ladies. I had not thought about it. I think part of the problem with skaters today is their lack of learning figures and concentrating on edge control. This really helps with jumps such as the Lutz. It just becomes automatic. Dancers learn proper edge control.
Maybe someone should send a message to the ladies to concentrate more on edge control. Turning the jump into a flip is more or less a lazy habit that should be corrected right away by ones' coach.
Here is a great site that explains the difference between the Lutz and Flip: