Think it depends on the design of the MT.
These hankook dynopro MT's seem to get pretty good reviews for their performance in snow,
Reviews - Hankook Dynapro MT RT03 Reviews Reviews by Offroaders.com - - - - - - - - - - - - - - - Review Engine Powered by ReviewPost
someone even mentioned them being used on a plow truck in alaska without studs. They are also pretty reasonably priced, and come in a variety of sizes.
I have the dyno pro HP on a hyundai 4x4, and I can not recall those tires spinning on anything but really loose gravel.
Meanwhile my stock AT on my FJ packed up with mud in my driveway that was only a millimeter deep and lost traction yesterday. They spin on wet grass in my yard, to the point I have to put it in to 4hi to climb even a slight slope (like 5 degrees).
Those same stock AT, I have had fish tail all over the mountain switch backs when I go to the ski resorts, and were only tolerable because of things like the traction control systems taking over. Then also I am originally from northern MN and SD, and I probably still to this day have trouble driving on a road without ice. I still want to over compensate on a warm summer day.
Chains? I don't think I ever seen anyone put on chains until I left MN. Who the hell wants to get out in -30 weather to put on frigen chains? Just learn to skate on your bald summer tires. Much more fun. As a teenager, winter tires coast more than my car was worth. I had better things to spend my money on.
I don't drive in much snow anymore, except for a couple times of year to ski; but, I will hopefully this year be able to get a set of the Hankooks MT on my FJ and test them out in the mountains.