> A non-standard orientation can cause issues with pick-and-place machinery, which usually will handle 90 degrees fine, and _often_ 45 degrees fine

This sounds like nonsense. Pick and place machines don't pick up components perfectly deterministically. There is always a tilt and an offset when you are picking the part up, which is why a computer vision system has to account for part orientation and the center of the part. The machine must compensate the error by moving and rotating the part accordingly.