Jeebus, these lunkheads shouldn't even touch the topic of vintage... No pictures for either of the two pieces described. Great.
The Anti-Magnetique, first appearing in 1954, really? Well, that's some load of bollocks... Doxa started putting that inscription on their dials just when everyone else did, in the 1930s, when everyone tried to match Tissot's commercial success.
As for the supposed "Waffen-SS" watch... 52mm-cased Doxa with some Nazi shit on it can be only one thing, a Ukrainian/otherwise Eastern European fake, usually a pocket watch conversion or a fantasy piece built around a Doxa-stamped generic pocket watch movement. That shite can be more or less ornate, with more or less spelling errors in the faux-Nazi stuff on the dial. Doxa did supply the Wehrmacht and the Luftwaffe, but these were ordinary "DH-spec" watches, stamped DH for the Wehrmacht, and D for the Luftwaffe.
You cannot explain away a wantonly immoral act, because you think that it is connected to some higher purpose.
Captain Jean-Luc Picard, Star Trek: The Next Generation