The solution to that, if you don't mind losing some color, is to take 2 x offset photos of the real machine's playfield, then composite them into a single anaglyph stereo 3D image and use that as the background for the table. Then play wearing red/cyan 3D glasses. The depth will be back, and the effect will be even more like a real pinball. The only issue I can think of would be how the ball looks on such a background, but I'm surmising it might just appear at the "back" of the depth; in other words, where the real table's playfield would be anyway.
So, has anyone ever tried anything like this before? If not, someone with a real table should try it (looking at you, Rawd, with your real Triple Strike table).