"Baby, It's Cold Outside" has been a very popular for many artists over the years. There is a reason for that. It's a terrific song that captures the "cat and mouse" element of flirtation combined with the socio-cultural norm in the late 1940s. Its popularity with artists of today is due to the idyllic nature of romance. There is a very polite interaction going on. Perhaps, that is what is so romantic about it.
Listen to some of these and decide how you want to think about this.
The album Baby, It’s Cold Outside, recorded by Chris Pasin and Friends, is at No. 45 and is this week’s “biggest gainer” on the Jazzweek jazz chart.