Not really, a mathematician would likely make less money than a toplevel chess player.
Many American chess players switch to poker or a different profession.
Edit: it just occurred to me that, since we are talking about "average" and not "median", this may as well be true, if a handful of mathematicians make a gazillion dollars a year. Very senior faculty members in the top research universities in the US are likely to make only $200-500k per year.