Magic is exceedingly rare. Any other such talent is just as rare and may be linked to your mind and body so as a rule cannot simply be passed on.
Look at it this way. The current belief is that the more creative among us physically see the world differently. One recent experiment subjected one eye to green and the other to red in test subjects.
Those tested and found to be more creative described the sight as a mesh of red and green. The less creative reported the image flickering between the two colors. I have no idea why none of them described it as a different color from each eye by switching the dominant, but that's immaterial. I didnt try it.
Talents in Elyria are expected to be much the same. A large degree of luck, but physically bound to us.
Personally I do like the idea of magic mastery and an academy but wouldn't want to impact the talent system and numbers.
What might meet part of your criteria would be if a master "<talent name>" could travel around and uncover X number of other talents, trigger them and accelerate their training.
This wouldnt change the rarity of talents but might fulfill a role akin to patrick stewart in X men...
Thus you would change the distribution very slightly. Most talents would be scarcely scattered but very rarely you might find an almost unheard of "home for peculiar children" lol