Project Runway's Tim Gunn once met Vivian Vance... or did he?

A story from Tim Gunn (Project Runway) which is too funny not to share... 

“I was a big I Love Lucy fan. I still am. And… my sister and I would visit dad at the FBI headquarters about once a year and we would have the whole tour. On this one particular day, Dad said to us, 'You're going to get the biggest kick out of this. Guess who's in Mr. Hoover's office?' 'Who!' 'Ethel Mertz. Vivian Vance!' 'No! Really?' He says yes — would you like to meet her? And of course, I would love to meet her. So, my sister and I were escorted in, and we met Miss Vance, who was lovely. And I never forgot it. However in the late '80s, when these stories were coming out about Hoover and the cross-dressing… I turned to my sister [at Thanksgiving] and I said, 'Do you remember the time we visited Mr. Hoover's office and met Vivian Vance?' And she said yes. And I said, 'You know, it strikes me now as really weird that Mr. Hoover wasn't also in the office!' And those of you who know what Hoover looked like — picture J. Edgar Hoover. Picture Ethel Mertz. Picture them side by side.”  Hmmm.  Gunn’s publisher, Simon & Schuster, had a legal team that "did their due diligence with this story. They researched the guest logs at the FBI — no Vivian Vance. They talked to Vivian Vance's two biographers. They'd never heard the story. Interesting.  I can't prove it — but it was odd."