You are going to get opinions that are all over the map on this one, so I will just tell you what I do with my vehicle that has AWD, traction control, and vehicle stability control:
I mount a set of 4 Michelin X-Ice tires every year in early December, and I take them off in early March.
Yes, AWD is superior to any 2-wheel drive system, even if that 2WD system also has traction control.
Yes, winter tires are superior to so-called all-season tires.
Why not harness the advantages of both in order to maximize your safety when turning, stopping, and--of course--when you get going from a standing stop.
Since your regular tires will not be getting any wear and tear for the months when your winter tires are mounted, you will be extending the life of your regular tires. As a result, the added cost of winter tires is minimal. And, if you buy winter tires with superior tread life--like the Michelin X-Ice--those winter tires should last for at least 4 winters, if not more.