Can polarized sunglasses help in skiing and other non-water sports?
Sometimes yes, sometimes no. The snow glare is not polarized, so they won't provide extra help in that regard (although often advertised for that purpose).
And finally http://www.allaboutvision.com/sports/skiing.htm, which supports both my argument that polarization has nothing to do with contrast(color does..interestlingly enough they specifically highlight yellow/orange and rose as I did), and my argument that polarization MAY be lower performing in many situations than non-polarized:
Lenses used in ski goggles are frequently a yellow-orange hue. This color enhances contrast, so you can see more clearly the shapes, objects and bumps in the snow, by blocking out the blue, or hazy, end of the color spectrum. For this reason, lenses of this color sometimes are called "blue-blockers." Rose is another good contrast-enhancing color, as shown by our sports sunglass lens tint guides.
Some opticians advise against wearing polarized lenses when skiing, however, because you may be unable to see the icy patches on slopes that you'll want to avoid.
Again I spent about 5 minutes on google getting this stuff, and apologies for the gaperness of the sources. I was trying to find sources that weren't goggle manufacturer websites, which are often just trying o get you to buy the high end shit. Point is the argument is out there, no I am not making this up/full of shit, and there are real, common sense reasons why you may not want to go polarized. You will probably be able to get around just fine since we are all competent skiers, but keep in mind you will see less shit on the snow than you would with a non-polarized lens. If you want terrain features highlighted, the best thing to do is go with a orange (persimmon), rose (purple), or yellow tinted lens to boost contrast.