JJ, no unit specifics but several disparate readings in several genre have popped up a former Waffen-SS guy (or 3) who was a merc in SA during those times. There have been a couple of good books that, marketed as non-fiction, have been widely disputed to be a bit of both. Still, it's a completely believable direction for someone like that, and have seen over time that there's enough smoke that there's probably some fire there too. And probably not a little embellishment as well.
But as youngsters my cousins & I were all yelling "Zeeeem-bob-WAYYYYYYY!" cheering on the merc's exploits and of course what young man worth his testosterone wouldn't love to have an Uzi or MAC-10, ya know?