No not unless...
And even then I used a set of LMs (performance winter so really not all that great of a dedicated snow tire) during that really mild winter a few years back and they barely wore. They were slightly spongy on the 60ish degree sunny days but nothing worrisome at all. The studless category tires might be a slightly different story (never had mine on during really warm season), but performance winters have never worn fast for me at all, not faster than any other tire and decidedly slower than summers, and I spent a vast majority of my time on the freeway.
I've had studless winter tires for some winters and they were spongier in the "warmer" weather but kicked the performance winters' asses when there was actual accumulation. And both categories were decidedly better than ASTs. Plus in the summer I had proper summers on which made a huge difference, both in the wet and dry. Win/win. Get a cheap set of wheels to put the snows on and as long as you're not mechanically retarded and have the space, it's a few minutes twice a year to do it.
And in the end, you're not burning through tires any faster, as you're now sharing the wear between two sets instead of one. So the only extra expense is the second set of wheels (and TPMS if you want to go that route), which are usually not super pricey to begin with and you can sell once you don't need them anymore anyway.
But I'm a hypocrite as I am running one set of tires year round at this point so I might be full of shit.