You follow the Jets so much more closely than me, but I can't see how Rodgers returns next year.
For starters, while Rodgers is owed ~$23M for 2025, if they cut him after June 1, they actually save $9.5M on the 2025 cap, according to this:
"Can the Jets Get Out of Aaron Rodgers?"
From the ownership side, Rodgers has now become a pariah with the fanbase and moving onto something new would be warmly received. Moreover, Woody went on record saying he wanted AR benched, which I don't believe in a million years, but that's the position he decided to stake and publicize. Getting rid of him now gives off a strong "I'm in charge here now" vibe that I'm sure Woody deeply craves.
And, probably most importantly, from Rodgers' side, what does AR have to gain by sticking around the Jets? Would appear to be little chance he can lead that team deep into the playoffs next year, which really is the only level that would be acceptable to save AR's legacy. Really no other team for him to play for that would be appealing either: Vegas? Tennessee? Panthers?. The best I could come up with is Cleveland.
Now from the actual football perspective, what would the Jets do next, that's a tough one. No meaningful QBs to trade for far as I can tell unless you want Deshaun Watson (!). Or trade for David Carr? Sam Darnold will be a free agent, but that's tough to see. Justin Fields? Draft the #2 QB on the board and rinse/wash/repeat, I guess.
I think the best way out for Rodgers' ego is to say he never got all that healthy in 2024 (not un-understandable) and all things considered it's probably best for him to turn the page and get into the next chapter of his life. As a philosopher and thought-leader.