Aaaah, so the B-side does feature a Nazi connection. Thanks for the excellent research, as always.
As regards the A-side, there were cases where recordings had their credits changed after the war: one I know of and of which I can provide an example on the site is the I. Musikkorps Des Infanterie-Regiments "Groß-Deutschland", many (so it appears) of whose recordings were re-released after the war, but credited only to "Großes Blasorchester mit Chor.". So, in this case, I'd have thought that they might have removed the reference to the SA and credited the vocal to "men's choir" or some suchlike.
The fact that the patent text surrounds the entire margin reveals that this is the second use of the DT tax code (in force April 9, 1948 - December 29, 1950). The label is Han Enderman's #C8 [B-9682 – B-10968; September 1948 to 1958], see http://early78s.uk/hmv-record-labels-on-the-b-series-1912-1958/.
The same record also exists with the first DT tax code (on Discogs, in force April 15, 1942 - April 13, 1943) and with DTP tax code (in force December 30, 1950 - April 15, 1953):
And yes, it is surprising that anyone in the UK or US was interested in listening to an SA choir in the middle of or right after World War II.
By the way, the composer of the song on the B side, Ernst Hanfstaengl (here misspelled as Hanfsteangl) was also an old Nazi. The son of a well-to-do German art publisher and an American mother, he helped finance the publication of Hitler's Mein Kampf and the NSDAP's official newspaper, the Völkischer Beobachter (People's Observer) in the 1920s. Later, he served as the Nazi's Foreign Press Chief. Hitler was the godfather of Hanfstaengl's son Egon. By 1937, though, Hanfstaengl started to feel threatened by Goebbels, and he fled to Switzerland and finally to Britain. During the war the Allies milked him for personal information about Nazi leaders.
Apart from "Jugend Trauert" und "Deutscher Föhn", Hanfstaengl, who was a gifted pianist and studied at Harvard (1905-1909), is also said to have composed several songs for Harvard's football team.
This record seems like an interesting anomaly: the tax code DT was used from 1942-43 and then from 1948-50. Ich hatt' einen Kameraden is a traditional song and has nothing to do with the NSDAP, but it does seem unusual to me that UK HMV would have manufactured a disc for export to the US with vocals credited to an SA choir during the above timeframes.