That is first. That is foremost. That is final.
The Jets have never been elite using my definition. The Dolphins haven't been since the 1970s if ever. The Bills were the ultimate exception in the 90s using my definition b/c they got to the SB four straight years. The Patriots are still elite because they have had successful seasons mixed around their SB wins (and yes I realize they haven't won in a few years).
My definition has not changed. Let's have the Jets win the Super Bowl this year. Does that make them elite then? They'd be right there in the discussion. They have to WIN it though.