Well, after all, they didn’t want anyone to hear them gloating about their grandchildren!
I can’t prove there was a third plane. That might have just been an internet rumor. It could be completely true.
I’ve been looking and although a third plane is mentioned on some blogs and comments of websites, there is no other proof that is true. There are no pictures (as far as we know) because the FBI prohibited them, so we apparently only have the word of the FBI and SS as to what happened.
Best info I can find says Bill barged his way on to Lynch’s plane.
What the truth is, I am not sure.