I considered the this week or even next talk very optimistic. I always thought that if they were going to play him, they'd keep him on the roster and take it one week at a time and try to get him some reps in final couple games. Unless they put him on the PUP list, I still see this as the sensible scenario. There would be no reason to keep him on the roster and then completely close the door on his availability. If he's still on the roster Wed, I'll assume this is simply a matter of how Foxy does media and that White could talk his way into a game if he got strong enough and into football shape in time.
This is a good way to have the media GTFO already.