This is just pure theory untempered by evidence, but it seems to me that the
dialectical-algorithmic cognitive style, as described in
http://www.the16types.info/vbulletin...g-gulenko.html, would lend itself best to playing chess. So that would include ILI, SEI, EIE, and LSE. That's not to say no other types could be good chess players, just that, theoretically anyway, those types may find that chess comes more naturally to them.
I'm LII -- most people expect me to be good at chess because I'm "smart", but I'm really not.