Frank Loesser, the song's writer, wouldn't be happy about the ban.
The CBS piece mentioned San Francisco radio station KOIT is conducting a poll to see if the song, which it banned Monday, should remain off its playlist. She said the song has no correlation to date rape or any reasons why it was probably shelved at one radio station.
"I think it would be good if people looked at the song in the context of the time", she said. "Way before #MeToo, I would hear from time to time people call it a date rape song".
Loesser said she was upset about the furore because "it's a song my father wrote for him and my mother to sing at parties".
Her co-hosts were less sold on the song's innocence.
Alabama's Tua Tagovailoa wins Walter Camp, Maxwell awards
Murray and Tua will battle it out once again for the Heisman, but Ohio State's Dwayne Haskins remains a dark-horse for the award. Murray leads the country in total offense (4,945 yards), points responsible for (306) and passing efficiency (205.7).
While the headlines around "Baby, It's Cold Outside" have been more prominent in the last couple of years, the song was accused of being problematic for years before the allegations against Cosby resurfaced in 2014.
"If we all believe 'no means no, ' how can you play that song?"
The 1944 song is about a man trying to convince his date to stay with him a little longer. "Keep Baby it's Cold Outside in the air!" tweeted another.
Star 102 Cleveland in Ohio, USA was the first to stop playing the Academy Award-winning song, with local media reporting "that listeners said the song was inappropriate and at odds with the #MeToo movement", BBC reported on 1 December 2018.
CBS This Morning co-host Gayle King, who described herself as a "big supporter and proponent of the Me Too movement", said Thursday that she was anxious about a nation losing its sense of humor. "People used to say "what's in this drink" as a joke".