Huh? That doesn’t make sense. Depth perception is in the Z (depth) axis. It’s neither in the X (horizontal) or Y (vertical) axis. You get the exact same stereo vision depth perception regardless of the orientation of your eyes.

Imagine a triangle with your eyes and the subject at a distance as the points. This triangle can be rotated around the long axis without changing anything. Tilting your head does nothing for visual depth perception.