I appreciated the first 90% of your comment, and consider the picture of greatness you painted therein something to aspire to. Deep thoughtfulness, personal responsibility, craftsmanship, and virtuosity are all traits I hope to one day embody. But as a matter of argumentation the last line is simply discordant, it does not follow from the anecdote (beyond the obvious fact that the anecdote is anecdotal).

In my experience the most brilliant people aren't brilliant individually or brilliant as a team player or brilliant at X or brilliant at Y, they're simply brilliant. The one exception to this observation, in my experience, is that I've met a few brilliant mathematicians who are very narrowly brilliant.