Is it me or do certain images on the flat 2D "screen" appear 3D? Is this an intentness effect?

It's a byproduct of how lenses work and the color aberration correction. The more off center something is in the lens, the more it spreads out the colors like prism. The Quest corrects that color spread by skewing in the opposite direction. I think this is a Quest 2 issue. I never noticed this in my Quest. It might be because there are only three color operation correction settings in the Quest 2. If you move away from settings one two or three even by a little bit, the color correction over corrects for reds and blues, the opposite ends of the color spectrum. It becomes really pronounced when you try the The hack of moving the lenses halfway between the clicks. Which is why I stopped doing that.

/r/PSVR Thread