See some of my other posts related to this question.
As I said, I'm going to go along with what they guys here say, which is "snowblower" for both single stage and two stage units.
In any case, Wiki doesn't really agree with you, at least as far as the terms they use for the parts of the machine that actually move the snow.
What you (and everyone else) call the "auger" on a single stage machine, they call an impeller.
Anyway, it's no big deal...just interesting that there seems to be very little consistency in who calls which what.
I choose the easiest route:
"Snowblower" is the easiest to say and type, so I'm going with that.