Answer: probably not, but it can't hurt.
An update on how this works out for me will be forthcoming.
Update:Yeah, pretty pointless -- there was maybe an inch of snow and we're supposed to get 10-18, so I doubt I'll even be able to tell when I get up next that I did anything (especially since it's supposed to be pretty windy too).
Anyway, I took a few pictures. They probably aren't that interesting except as a comparison with whatever comes later.
Here's how the scarf is used. The half-gloves weren't all that useful, so I will have to find my real gloves.
Here's what it looked like before I shoveled.
Here we have a pretty pathetically small pile of snow.