Not At my house in Pocono PA.
We just got 7 inches on Saturday and I never had one outage. Freezing Rain can cause outages since it coats the dish with Ice and reflects the signal away from the LNBs.
Or a really Heavy Wet snow can cause an outage.
A light powder should cause no issue.
I can tell you for a fact , That D* and E* have the exact same effect during snow and ICE.