For what it’s worth, I don’t think the “mystery” qb is likely.
When you mentioned prolific career. From an EOL QB perspective who could be available. My mind immediately went to Matthew Stafford, Aaron Rodgers, and Kirk Cousins(could barely slide into this prolific thang). EOL you're looking to win immediately. Jets have the 10th pick in the draft. They could easily move up for a QB or hope for one of them to fall. Others such as Kyler, Ryan Tannehill, Derek Carr, Jimmy G., Geno Smith are not prolific QBs. Justin Fields is a gamble worth taking. Russell Wilson too costly from a monetary perspective and doesn't come off like a model teammate.