Thanks for posting. I had heard about this before but never actually watched it. So it was interesting to see it.
It looks to me like Joan Rivers gave up too early. I mean she said KK was calling for VP and they would go and get her. They should have just stayed on the line, maybe then she would have taken the call and talked to Ken at least. I mean the first time they tried to call back the line was busy. So it could be it was busy with the call they had disconnected. Imagine if VP actually got to the phone and nobody was there. No wonder she didn't want to pick up after that "prank call".
Then as for giving out the number. I don't think it was done with malicious intent. Joan was trying to be funny, but failed. It looked to me like she knew she really shouldn't give out her number as she tried to mute the sound as much as possible. Yet she went ahead and did that anyway. Bad move on her part.
So actually the thing that surprised me the most about this show was how Ken Kercheval was doing needle point!
I didn't expect him to have that hobby as it is something I mostly associate with my grandmother.
But yeah KK looked nervous about calling VP up. It was like he knew it wouldn't be appreciated. It's possible he was nervous because he knew Joan Rivers and VP didn't get along and didn't want to get stuck in the middle of them.