Gene had a habit of spinning yarns to make himself look good, take credit for everything Star Trek did right, and blame 'the higher ups' for everything that went wrong. Nice guy, great showman, serious charmer, regularly lied through his teeth on the convention circuit...
I don't want to demonize him too much, but suffice to say, if it was a story he told whilst doing the convention circuit, it was ... exaggerated, at best, and always done to make Gene appear in the best possible light. (Re: The truth about why Majel Barret didn't get to stay as Number One.)
(Also, Warped, several of the new Trek books address this directly, and Rod has explicitly stated this more than once. I admit it's a painful truth, particularly if Gene had become your idol, but it's one of those dark pieces of Trek's behind-the-scenes lore...and, think about it, it explains so much, doesn't it?)