If he's going to be a minimum salary warm body type, with a lot of if's and maybe's, sure why not. Mostly that's the types the jets will be signing with their salary cap situation. Unless they do a house cleaning.
The way it was presented ," they could be targets this off season" it sounded like, well, they were actual targets that were center pieces of the off season strategy.
If Perry is being signed as a roster filler role player, why not? If he's being signed to an actual contract, with any guaranteed money, as a replacement for pace, who at 35 has been more productive over the last 3 years. pass.
To come up with an adequate pass rusher to compliment Mauldin, and this D line long term, the place to look for that is in the draft. There is even a good chance that the BAP at 20 will be an edge rusher.
A decent LT is who I would be targeting in FA. Behind Brick, there is 0 on the team. That's easier said then done. Okung is probably to expensive, and probably will be resigned. Penn, and Barnes, both in their 30's, Kelvin Beachum is who I would be Targeting.
Don't know what Pitt's intention on him will be, and suspect he won't be cheap. It's a matter of how expensive he will be. The Jets are about to have a stare down with D'Brick. Beachum is 26, coming off IR, Alejandro Villanueva re markedly did a very good job as his replacement. That's who I'd target