LCD screens like the one in the 5X include a polarized layer. I believe the individual pixels turn on and off by electrically changing their polarization. The side effect is that if you wear polarized glasses, the screen will go blank in one orientation as you describe. Makes it hard to take pictures in landscape with sunglasses on, eh?
OLED screens do not use a polarizer (each pixel is a tiny LED) so they should work with polarized glasses in all orientations.
Paul