The CAA say:
Polarised lenses reduce the amount of light passing through the lens by selective filtering of certain electromagnetic spectral planes. These lenses can cause distortion patterns from certain laminated cockpit windshields. They can also alter cloud appearance and reduce ground reflections useful for VFR pilots. The use of these sunglasses is therefore discouraged.
I don't know if civillian aircraft make much use of HUD's, military aircraft certainly have done for a few decades now, although I think that tech has changed to projections onto helmet visors or even directly into the eyes.
I guess Maverick has to just wear his shades on the ground now

Something I can tell you about is polarised filters for photography.... you can see all sorts of weird effects from those, especially on things like plastics on motorbikes.