As far as I know chains are legal in Alaska, it's just that no one uses them or even owns them. If I were driving a long distance in the winter I'd bring certain items with me, but chains wouldn't be in the mix. I can't imagine what I'd do with them even if I had them.
You put them on your tires when the road is slippery for personal/family safety and to gain traction and control. Be sure to put them on the tires that have power going to them...They've been around for decades...
Sometimes things are new to you...It doesn't mean they aren't useful to others...live with it.