Some things to remember...
Gallup's contract extension was a direct result of the criticism the Jones were getting for completely mishandling the Amari Cooper situation. They tend to hold onto these players because moving on quickly means everyone was (once again) right and the Jones were (as always) wrong.
Cutting or trading Gallup before June 1 frees up an additional $800k, but with them currently being well over the cap, they may be looking for any cap savings they can find. However, I'm sure they value the potential contributions of Michael Gallup over $800k in cap room. If they did move him before June 1, he's completely off the books before the 2025 season.
Cutting or trading him after June 1st saves $9M in cap room but fans seem to always forget that is cap room you can't use until June 1, close to 3 months after free agency begins. Hardly an "All In" mentality. The June 1st maneuver also means Gallup is still on the cap for $8.7M in 2025. This is normal operating procedure for the Jones’, but I'd rather rip off the band aid. Why go into 2025 still dealing with 2023 issues?
I would try to trade Gallup to a team like Chicago, Carolina, or Tennessee that either have a ton of cap room and/or issues attracting free agents.
Maybe you include him in a package to get Derrick Brown or you trade a problem for a problem, like the Kelvin Joseph for Noah Inbinoghene deal last year.