Dennis King starred in both The Vagabond King, in which he sang the "To hell with Burgundy!" line, and I Married an Angel. I believe he did the whole Broadway run of Vagabond King and toured in it, and he was very well known for it. He also did the whole run of I Married an Angel and then toured in it, leaving the highly acclaimed Doll's House with Ruth Gordon, Paul Lukas and Sam Jaffe for it.
So it was sort of a Dennis King in-joke but one that almost everyone who would have seen the show, including on tour, would have gotten. And although he did not do much film work, he did star in the 1930 film version of The Vagabond King.