Regarding the matte shots, sometimes when a tabletop monitor is in use, you can see the plain white screen reflected in the table. The most glaring example is in
I wish they had fixed it in TOS-R, but it would have been difficult on their tight schedule.
I'm sorry but I'm calling BS on this one
What was required is laughably easy. I did it in 14 minutes in Sony Vegas (HD video editor software) You simply cut out a mask of the screen, put in a track above, flip it upside down, blur it, and you're done. I added 2 extra blur tracks to finesse it. The initial space/ pull away shot would have been easy with the tracking effects you can find in After Effects or Mocha. Perhaps another 15 minutes?
The answer is obvious: they had to use their valuable time to instead turn the red storm clouds in The Apple to an earthly shade of gray, in order to completely ruin the continuity with the red sky of the planet set.

I'm a forgiving fellow, and I know I mentioned it elsewhere, too...but I cut the production team no slack on that one.