If you have natural talent you are not inept.
I used it as an explanation of why it is possible for someone without acquired knowledge (as per one of the sub-divisions of a definition of ' amateur') to make more money than the pros.Obviously, having natural talent implies the presence of informal knowledge, intimations or intuitions, but not the kind that belongs to the proper, layered knowledge that stems from accumulated from years of domaining.
If you do stuff as a hobby your goal is to enjoy yourself. You can make money while doing it. It does not mess with the definition of a hobby. Which really has nothing to do with the term amateur.
The hobby is defined as pursuit of activity outside regular occupation primarily for relaxation. By and large hobbies liberated from the burden of making income, but when they do, it's as the cases of exceptions to the general rule. When a hobby starts bringing income it transforms into de facto side job/gig at least and into a full-time job at most, essentially ceasing its existence as a hobby. .
Since you have defined 'amateur' exclusively in terms of payment-free activity (see definition earlier in a thread), 'hobby' and 'amateur' do share something in common, namely, non-attribution of funds, as the point where the paths of 'hobby' and 'amateur' overlap.
If you do stuff as an amateur you want to eventually be good enough to make money from it. To become a pro.
Once you make money from it. You are a pro.
But what about the elite football players who, at the same time, chose to remain in an amateur, thus non-paying, or non-professional league ? Their level of skills can not be called into question being that they are adept at their game and, therefore, could simultaneously be considered both pro (with regards to the skills) and non-pro (with respect to not playing for money) ?
Here you would encounter a paradox: such a football player would be both an amateur (when it comes to pay) and a pro (non-amateur in terms of having skills above an 'amateur' defined as an unskillful person).