slightly related: was there ever the event in which tanks drove over ice. I can hardly imagine this being historical
Well obviously it's no the trivial way to go about driving tanks but I can imagine many many times where units needed to make some kind of difficult or risky maneuver in order to escape/encircle/outsmart the enemy so I do not count that out of the realm of possibility.
Generally, in every war the greatest losses are inflicted by nature or other non-combatant reasons rather than direct combat. I remember reading about the Jagdtigers, those elite tank destroyers that are also in the game for OKW. About 100 of them were ever produced, and about 20 were deployed to the remnants of the western front sometime before 1945. Well, of them only 5 ever arrived on the battlefield and the rest were lost in transit because the train that were to carry them to the frontline did not have proper wagons for their tonnage and it broke under the strain of them, leaving them entirely combat useless and prey for the tankdestroyer planes overhead.
The same thing happened with Tiger A and B, and for a lot of planes aswell which would just get destroyed in their hangars due to poor AntiAir on Germany's part in the later stages of war. Don't even get me started on the early stage UK convoys heading for the North African front carrying artillery cannons, tanks and other light vehicles that never saw 1minute of combat action due to their carriers getting sinked by mines.
All the great battles in history are very rare, that's why we must cherish them. Most of the time, the battles almost never happen for this or that trivial reason (or, of course, for straight up fear on the part of the commanders).
My conclusion from reading all that history is that of course Tanks driving in ice happened, although not because some commander thought it wise but because those kind of maneuvers were needed under the strain of combat. I also expect a lot of tanks to get lost that way.