[PlasmaKrab]

Remember that all of those up and including the Viking*) are designed by Hägglunds of Sweden, specifically as snow vehicles. Some pre-Viking (heh) examples are already in the UK OOB.
Since they snow-vehicleness is mainly due to their wide all-rubber tracks, it means that they simply have better ground pressure than the average tracked vehicle, which gives them better crossing abilities on all soft terrains like snow, sand or mud.

Since "snow vehicle" in SP is a unit class instead of a move class, they have to be of this unit class to benefit from their snow-crossing abilities.
Now what I don't know is whether class 162 units also have improved crossing abilities on other non snow-related soft terrains such as soft sand, volcanic sand, mud or swamp.

If some really fear that players shun these vehicles in non-snow cases for fear they somehow depend on snow to run, better copy them to another class. Any APC/truck class should do the trick. Since the Vikings are primarily used by the Marines (right?) one of the amphibious classes (#33 & 34) could be used as well.

Or just take the existing Bv formations and rename them to something not mentioning snow at all. Which is already not a problem in the UK OOB.

*Apparently the Warthog is the Bronco ATTC by Technologies Kinetics of Singapore by another name.