Not to argue off of authority or anecdote, but the vision of mathematics described is disparaging to anyone who already is or is on the path of being a mathematician. In particular, I think your view is only amenable to armchair/recreational mathematicians, and I really do not see the world being described as being one that is mathematically elegant or “better”.
I found that this article was supportive of recreational mathematicians. See the closing passage.
>Find a question that is meaningful to you, find other humans who are interested in it, and talk about it. Be confused, be stuck, be inspired. Find a messy proof, then find a better one. Get tired, get hungry, get into a flow state. Argue, laugh, give up, drink some coffee, and attack it again.