Do you think we improve as riders exponentially?

Whether one continues to learn to ride better surely depends on whether one decides to go for tuition? What clinics and demos one attends.

I can't entirely agree with this, I'm afraid. What improved my riding the most, particularly over fences, was hunting.

That said, I think with young riders, they need to be taught the basics, then they need a period of just going out & doing it - hacking, messing about, having fun, etc to get experience, feel, balance, confidence - things that cannot really be taught, then go back to tuition to add finesse.
 
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