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They did turn their backs, not on an anthem, but on Fritz LΓΆwenthal, a speaker for the Communist party in the Reichstag in 1930.
Twitter link with Alamy stock picture.
Upvote:4
Prior to 1922, there was no official hymn. In 1922, "Das Lied der Deutschen" became the national anthem, thanks to president Ebert (it's third verse remains to be the German national anthem to this day).
The NSDAP bore no contempt towards this anthem. In fact, it was, at least in part, played during such occasions as the Sportpalast speech by Joseph Goebbels. The NS regime kept the Deutschlandlied but also established the Horst-Wessel-Lied as a co-anthem.
Therefore, I do not see why any Nazi should have turned their back on the German anthem. I can't say for sure, though, that this was never the case with any anthem at all.