The Jets really haven't had much success in the past decade, and I'm pretty sure they now hold the record for longest postseason drought in the major sports (now that Sacramento Kings made it). So I don't blame them for taking the slight gamble.
To me, the Jets are literally the team you could say is truly a "QB away". Wilson was atrocious, and Mike White did his best but he's not elite either. They have the weapons, the coaching, and a young/elite defense. Adding Rodgers to the fold makes them a legit contender. In fact, I'd say they are probably close to that CIN/KC/BUF level already in the AFC.
Maybe Rodgers doesn't work out, but unless the Jets had a real shot at Lamar I don't see what other option there was either. Just roll with Zach Wilson? Lol. I think the Jets are being nice about it, but I think the whole team hates him and deep down they'd love to just dump him somewhere else.