Sounds as if the tune used was the one later used for "Deutschland, Deutschland ueber Alles"--and indeed that tune has been used for many songs.   We've had some threads on this.   But the tune was first used to honor an Austrian emperor.   And even "Deutschland" was meant to counter the particularism of the many states which made up what became the German state. It was not a declaration of intent to conquer the world. The current German state uses the 3rd verse: "Einigkeit und Recht und Freiheit" (unity and justice and freedom"), not the first verse.

However, depending on the experience of a listener during the 3rd Reich, it could obviously be a hugely emotionally-laden song.