Only two plaques in Cooperstown for players include a New York Mets cap. Tom Seaver was the first in 1992. Mike Piazza became the second in 2016. We have hope of some future Hall of Fame candidates getting in with a Mets cap.
Choosing which team to represent on your Cooperstown cap is a big decision and a way to either show love for one fanbase, scorn another, or add a few bucks in your wallet. None of these three played for the Mets long enough for it to even be under consideration for them to represent Queens in Cooperstown.