Thirty odd years ago there was a fad for shoes generically called snow joggers. It was a super lightweight boot in appearence -- usually 6-8" tall, but with a very light construction throughout. They were somewhat wide to accommodate more socks.
They had essentially no ankle support -- or maybe the amount of support of a canvas top runner.
As a fashion item they were cheap. Typically about $20, and they would last a year or two -- about the same as pair of Walmart sneakers. Tops were made of nylon fabric, probably a little lighter than pack cloth.
Even at the time they came in different styles. At one extreme were "Moon boots" with a thick layer of foam insulation. These were not considered 'snow joggers'
Most were two ply fabric with about 1/4" of Thinsulite. Any insulation on a boot makes it much harder to dry.
- They were easy to dry around the campfire.
- They were light -- light enough to jog behind a dog sled all day.
- They were tall enough that you didn't need gaiters to keep the snow out.
- They were cheap enough that if you melted on drying it, you didn't cry too hard. (I told people on my trips, "don't buy black -- you can't see it toast")
I can't find the equivalent now. Everything is either a boot, is designed to provide lots of support, is heavy, and clunky to jog in; or is a duckboot, with in effect a 10 or 12" boot dipped 3 inches into rubber; or is stuffed with undryable foam.
Sorel makes a large line of very clunky footwear. Great for standing around at -40. No good for running.
Various running brands make what they call winter running shoes, but they don't keep the snow out, and are not sized for extra socks.
Hunting stores have winter boots but again, they tend to be heavy, expensive and hard to dry.
I'm pretty sure they must exist, I just don't know the right name. Every time I use 'boots' I get stuff that is heavy. Every time I use moccasin I get stuff that amounts to indoor slippers. Every time I search for 'snow joggers' I get puffy things.