I'd argue that the actual value of teaching needlework to kids is not to produce great surgeons but to identify who might make a great surgeon and who probably shouldn't even bother trying.
Great hand eye coordination is an innate ability
While I agree that some children and adults seem to have an "innate" ability, I would argue this ability is formed by their development as children and how they grow up, and there are a few studies coming to this conclusion (just search "children development lag" on google scholar).
I would further argue that most, if not all individuals barring physical and/or mental disabilities can acquire any given skill with deliberate practice (in a method that works best for them) over a certain period of time not far off those with an inherit advantage; again you can search "deliberate practice" on google scholar to find numerous studies.
Do you have any source for that claim?
Some people may learn faster but everyone can with practice.