TNG season 2 already used alternate takes for several shots, so that's definitely a possibility. One that I would prefer to upscaling, that's for sure.
I guess, if there were a better take, they'd used that back then in the first place instead of fixing a bad shot.
What I'm more curious about is the cause of the massive grain in DS9 season 7 in many scenes. I hope, they will be able to deal with that without filtering the image to death.