So let's say he never asked for a trade, still released or just on the bench?
That's like asking what would have happened if he had a different personality with a different reaction to being demoted. His motivation, his handling by the coaches, his opportunities and his treatment by teammates would have been different if he kept his mouth shut. No telling what would have happened.
That said, in comparing his past performance to the current performance of other players, I'd say he would have been behind Greene and Campbell except for the injuries and cut anyway.
With the injuries and if he hadn't poisoned the water, there's a good chance he would have made the roster. Campbell looks like won't start the season given he hasn't been practicing, maybe PUP. With Burks out, it looks like Greene will be occupied at ILB in the hybrid role. That could be a lot of snaps. Williams is probably the backup FS even if he starts at nickel or perimeter corner.
When Hyde was around playing slot corner, the Packers carried 3 safeties to start out with Hyde able to switch to safety in a pinch. As injuries would have, Hyde played a fair amount at safety. Hyde's ability to swing postions saved a a game day roster spot. Today, the starters + Greene + Williams as swingman is a similar situation. The problem is if Greene is already slated as a semi-starter at hybrid with Burks out, I believe that is the case. So, the Packers do need another safety with Cambell out. It might have been Jones under these circumstances.
That leaves Redmond, Matthews, Jamerson and Tyson on the current roster or a waiver or street pickup.
The only question in my mind is what took so long to shed Jones. Gutekunst, et. al., must have know quite a while ago that he had no trade value. All I can think of as to why he lasted this long is they wanted to be sure they had replacements who could play better than a disappointing and disgruntled Jones. Given that low bar, I still don't get it. It's possible they kept him in purgatory to send a message to other players and their agents, current and future, not to leak demands to the press. Personally, I'd would rather the air gets cleared out in the position room.