I don't think Baby It's Cold Outside - not that it bears much analysis - is necessarily about a 'quickie'. I know I never thought of it that way; I assumed the couple were in love - but then I'm a big old mushy, romantic, sentimental softie, as everyone knows.
Btw, I just heard on the news that this song has been pulled from the Christmas playlists of several prominent music outlets in North America. Can't say I'll miss it greatly - but ... pc gone mad, blah, blah, blah, grumble, grumble ......