What's wrong with polarized lenses? I'm just curious..
Polarized lenses essentially eliminate glare/reflection. If you are on the water boating thats great because you will greatly reduce the reflection of sun off the water. If you are on the mountain boarding its dangerous because you will not be able to see ice patches. You need light to reflect off ice in order for you to clearly be able to see it and a polarized lens essentially kills that ability.
There are probably 10 applications polarized lenses are much better then non polarized, but skiing/boarding are not one of them.