I'm inclined to regard talk of judgement of who is a "great mathematician", who is the "greatest mathematician" and so on as mathematical criticism. And I'm inclined to regard mathematical critics in the same way G. H. Hardy did, as he explained in A Mathematician's Apology [1].

To put the matter more bluntly: if the pilots of Top Gun were in the business of criticism, there wouldn't be any left because they'd blow each other to bits.

I think mathematicians and other high achievers should rather consider their relation to the Mary Sue and their domain of expertise as a LARP. Nobody likes a Mary Sue, nobody likes a Spock. And everyone should remember what rock music has to say about the fortunate sons who can aspire to the Mary Sue, Fortunate Son by Creedence Clearwater Revival.

[1] https://archive.org/details/AMathematiciansApology/page/n29