A bit unwieldy, I´d say.
That could work. Either Puma or just Fuchs (fox).
Also Berglöwen (mountain lions) for a particularly distinguished force, and/or Bergziegen (mountain goats) for a force that manages to cross terrain no such force was thought to be capable of crossing.
Doesn´t sound like a clever commander, though, the way "Desert Fox"/"Wüstenfuchs" does.
"Die Berglöwen"/"The Mountain Lions" would work very well for a division or other force that distinguished itself in the fighting there, though - analogous to the Desert Rats.
They should be able to able to get the Spanish Inquisition and its abuses, especially the policies on Jews and Muslims, banned from mainland South America. It could turn the place into a haven of religious tolerance. Imagine Jews flocking to the Four Corners to escape persecution in Europe...
Given how much damage the IJN has taken right at the start of the war, the whole "the Japanese are running wild in the Pacific and nothing can stop them" mood that contributed to such a wild idea as the Doolittle Raid being tried isn´t there ITTL.
Considering the number of nuclear strikes we´ve seen, all within what... half a year? Quite a few of them were also ground burst, which means they threw up more ash than an air burst. A year or two with cool summer and very harsh winter sounds plausible.
Yeah, I figure that, with the Reich´s legacy that much more sinister, it would take correspondingly less stellar behavior to be seen as a shining paragon by comparison. So maybe less of a Righteous Among Gentiles and more of an "Okay, that guy wasn´t really a monster, unlike the others".
So then there might even be a few Heer officers who are remembered as something akin to ATL Oskar Schindlers, in that they protected their serfs and most likely saved the lives of most of them?
What about the retired Heer veterans settled in the East? What happened to them post-war?
I´m assuming they get punished in some way for their role in the first phase of the war - but at the same time, they did treat their Slav workers about as well as they could get away with.