It might cause a tiny bit of signal loss on weaker UHF channels, but not too much effect down in VHF. Thing to remember is the bands of really heavy snow aren't that wide, that is to say the signals don't have to travel very far through them and really heavy snow squalls (rates of 4+" per hour) are localized, isolated, and always on the move. In normal lake effect snow, it's pretty common to be in blizzard conditions in one spot and literally have clear sunny skies just a few miles down the road. I think any snow sitting on the antenna itself probably does more to lessen signal strength than anything.
On a related note: Channel 9 was doing live shots in white-out conditions and their microwave signal had no trouble at all cutting through the heavy snow. Actually, it's kinda surreal as usually when you see live shots in other types of bad weather (hurricanes, thunderstorms, etc.) where the picture is grainy or breaks up. But in L.E. snow, you usually get an almost perfect steady picture from the truck (and northern Oswego County is a bit of a haul to the tx sites SE of SYR). One thing that is typically noted is that any trop from the north side of the lake does get squelched when there's very heavy snow bands over the lake. Another thing we notice is that heavy snow will rarely break up the signal on the dish, since the clouds that come off the lake aren't very high, again the signal doesn't have to travel through too much. Heavy rain actually does more to reduce signal strength than snow. Snow causing a snowy picture

sorry.. .couldn't resist!
As far as transmitter access goes, most all of the TV stations in both Watertown and Syracuse aren't in the areas that saw 11 feet of snow, so not a huge problem there. Also, the sites aren't that far off the road, so plowing them out usually isn't a big issue either. Folks in CNY are pretty used to this and as my parents (New Haven, Oswego Co.) noted, not a long face to be found anywhere. People just deal with it and move on (albeit a little slower from shoveling/plowing/moving so much snow the past week

)