The song predates that by five years. https://www.goretro.com/2016/12/why-baby-its-cold-outside-is-not-about.html?m=1

Frank Loesser’s son, John, was interviewed about the song by the Palm Bean Post in 2010 that was reprinted on the official site for his dad. From the article:

“My father wrote that song as a piece of special material for he and my mother to do at parties,” says John Loesser, who runs the Lyric Theatre in Stuart, and is the son of legendary composer Frank Loesser (Guys and Dolls, How To Succeed In Business Without Really Trying.)

Frank Loesser’s wife, Lynn, was a nightclub singer who had moved from Terre Haute, Ind. to New York in search of a career. She was singing in a nightclub when she met Frank Loesser around 1930.

The song itself was written in 1944, when Loesser and his wife had just moved into the Hotel Navarro in New York. They gave a housewarming party for themselves and when they did the number, everybody went crazy.

“We had to do it over and over again,” Lynn Loesser told her kids, “and we became instant parlor room stars.”

Performers started to take note of the song, and record covers of it. It’s also featured in the 1949 musical comedy Neptune’s Daughter as sung by Ricardo Montalbán and Esther Williams below. And in that movie, it takes an ironic tone since the movie takes place in a warm climate. It also earned Loesser an Academy Award for Best Original Song.