I think Zach Wilson is done in New York.
He might still have a great career, but probably elsewhere. I don't know how that relationship is salvageable anymore. The fans hate him. The players mostly seem to hate him. The coaches (Saleh) also don't sound committed to him. It's also not outrageous to say Wilson may have singlehandedly cost the Jets a chance at playoffs this season, especially with how their defense has been playing and the weapons they have on offense (and a great running game). But he's been absolutely atrocious in some of these games, including the Jags one last night and the two Pats games earlier in the season.
Wilson had another shot after White went down with injury, but he really hasn't done anything to help his case.
Jets should definitely go hard after a QB this offseason, especially a premium one if they happen to become available in FA or trade (Lamar? Rodgers? Brady? Jimmy G?) with Mike White as a great backup. Jets with a real QB are a legit contender