irclean has the best snow bike on h hybrid forum.

I find 2.125' knobbies work OK in up to about six inches which is more than I usually have to deal with. I avoid bike trails covered with frozen footprints like what you showed in the other thread. If you want to ride that trail, a bike like one of those you've pictured above would be the ticket. Also might work good for off-road generally, after the snow has fallen.

A big problem with riding on the road while it's snowing is snow or slush freezes on the cogset until the chain won't work anymore. That's why irclean's bike with belt drive (and studded tires) might be more practical as transportation. In really deep snow, and for offroad recreation, the Pugsley/Mukluk looks fun. I have backcountry skis (waxless, metal edge, sidecut) for playing in the snow. I have had some fun mountain bike rides off road in snow, but that was before I got the skis.