Yes the old video was with a shiny worktop and worked well with reflection, the problem is reflective material and green screen, it reflects the green from the green walls etc so it looks transparent. In this example its not a bad thing, the problem is that it may reflect green onto objects on or near the desk.
I would be possible to take another copy of the video image and reverse it for reflection, but not possible if your already using the 3 shots and foreground/ background in the scene, and will use up cpu, maybe when I win the lottery and make a 100 core 1000gig ram beast, but if i won the lottery I would probably be on a beach not a green studio!