You forgot how he refused to go on a conditioning stint in the AHL last season after returning from injury.
In terms of his future, perhaps someone will be willing to take him as a backup with the Jets retaining some salary. Next year I could see KHL or him signing somewhere as a backup. Budaj played abysmal for the Moose in the AHL a few years ago, got an opportunity with the Kings AHL team last season and played his way back into the NHL as their backup this year.
He's only signed for this year, so I doubt there's an issue retaining salary with what appears to be about $9M in cap space without Trouba being signed unless the Jets felt the need to take a cap dump back in a trade involving Trouba to get a really good player.