Nope. It gets you where you need to go.
There is exactly zero chance 2wd with whatever Jesus Tire somebody wants to laud in this thread would have gotten me up my unplowed driveway returning from Christmas with the foot of snow and much more of compacted plow detritus, assuming that the 2wd vehicle could even get there, up 5 miles of dirt road climbing the side of what anyone in Maine would call a mountain, with several places with 10%+ grades, hairpins, etc., all of which was glazed. Nobody that lives on my road has 2WD, that probably means something. All with a Subaru with all-seasons and 50,000 miles of wear.
If you honestly think your snow tires will get you anywhere a competent AWD vehicle will, you are delusional. This doesn't mean stopping/turning traction isn't superior with snows (it damn well should be), but in the not getting stuck department, in deep snow, it matters to a huge degree.
It would be so nice if people kept to relaying their own experience instead of decreeing what equipment is suitable for somebody else.
I meant to add the piece about clearance as with an unplowed road there is no replacement for clearance. Sure there are probably some private roads which climb a steep angle that I would be hard pressed to climb. But for public roads I stand by my claim. NH and VT have steep roads and I have driven out west a fair amount. 2wd with appropriate snow tires will get you where you need to go.