As far as I can tell (from what I've read and what I've observed over the years):
Some skating-related skills tend to favor typically male body types, others tend to favor typically female body types, and others tend to be sex neutral.
Jumping tends to favor a generally small, light, thin, aerodynamic body with with a high strength-to-weight ratio and explosive muscle power. Broader shoulders and narrower hips will facilitate rotation.
I.e., for adult bodies, the most favorable body type is small and male.
In early adolescence, girls who mature late (and who already have the necessary technique) can be approximately on par jumpwise with boys their own age or a year or two older.
Most girls who mature into typically adult female bodies -- even if they are smaller, thinner, less curvy than the average young woman -- will tend to lose some of their jumping ability as they reach their later teens. Continuing to improve technique will help, but at some point many girls who excelled at jumping as preteens/early teens will no longer be able to jump as high or rotate as quickly. Artificially trying to keep themselves the same size as adults as they were in early adolescence won't be sustainable because they will often end up losing muscle as well as fat.
Therefore, peak jumping age for girls is generally early to mid-teens, and then the jumping ability often plateaus at best while other skills continue to improve.
For men, maturing into an adult body often helps jumping ability improve, as long as they don't grow too tall or overall heavy. (And if they do, to a moderate degree, then pairs might be a good alternative, whereas female pair skaters benefit from being even smaller than the average female singles skater, who are already smaller than average women.)
I.e., it's more likely that junior ladies could keep up with younger junior men on jump content, but for over-19 skaters no longer of junior age, there will be many more men than women capable of triple axels and quads.
If skating success becomes all about jump rotations, then most women will be on the downside of their careers well before they're out of their teens, while men continue to improve into their 20s.
Women who learn high-revolution jumps as teenagers and are fortunate enough to remain small, light, and muscular as young adults may be able to maintain the same jumps they learned earlier, while improving other skills, but women with that kind of body type will be a minority even within the elite skating community, let alone in the population at large.
Of course, injury can interrupt anyone's career, even if they have an ideal body type for skating and jumping.
If there were a unisex competition decided primarily by jump content, it might be more of an even playing field for the 13- to 16-year-old age range (when top female jumpers may be at their peak and top male jumpers not having yet reached theirs), but would likely be heavily dominated by male athletes at older ages.
Flexibility (which is not the same thing as extension, though related) tends to be greater for both sexes in childhood and early adolescence. Both sexes can retain flexibility by continuing to train those skills, while increasing extension and body awareness as well, but on average men will lose more flexibility than women as they mature. This seems to be more true of back arch than hip turnout.
Therefore, to achieve a more level playing field between the sexes at senior level, it would only be fair to value flexibility moves highly as well as jumps. And, of course, blade-to-ice skills that are less dependent on male vs. female body type.