I didn't find it funny in transcript, nor having heard it since (maybe that order influences me somewhat, I don't know).

It's a horrible thing to talk about someone else's sex life a) publicly and b) to their unsuspecting relatives. It's particularly vile when neither party is around to respond in person. If the people you're discussing aren't in on the joke then it's not a joke, it's malicious.

What I was most surprised by was that it had been pre-recorded and signed off for broadcast. Either the editor thought that was both funny and perfectly acceptable behaviour, or they thought they'd let it out to see how quickly the attention gathered. Neither option gives me much confidence in this mystery 'senior executive' that keeps being mentioned.

All that said, I'm already bored of the witch hunt too. An apology is the most you can ask for, they've given it, everyone please shush now.