I have a couple 3 season tents from Big Agnes and they hold up well enough in a bit of wind, but the structure of the tents are not made to hold up to the added weight of a lot of snow. I have a Cabelas and a North Face 4-season that I take whenever I expect snow, and 4-season tents are made to help better insulate you as well. If you are expecting a couple feet of snow as in years past you are still going to need to try and keep you tent reasonably free from snow. That much weight on top of any tent could cause serious problems. Especially if you are back in a ways.
So yes, if you are expecting snow, definately take your 4-season. You will be much better protected from the elements, especially the snow. Even with the added protection it is still a good idea, if it is snowing, to wake up periodically and knock the snow off the walls of the tent.