I don't know if he was going to be cut. I think he still held value as a backup. Right now after Jones backup safety is Raven Greene, Tray Matthews, Mike Tyson, and perhaps moving Tramon Williams back to safety. So right now keeping Jones as a backup might be in the better interests of the Packers then cutting him because he does not want to be a backup.No.
Quick reminder this is Josh Jones not to be confused with Ronnie Lott or Earl Thomas. What really surprises me is we have 2 pages on this topic for a guy who was 90% sure to be cut anyway .....