You asked did I believe it word for word. I answered that that version is more likely than the fantasy you are putting up.
I was not there, did not see the planes, and did not see the aftermath, so I cannot give a 100% certain option. However, based upon what I have read and seen, I put this conspiracy up there with the great one that aliens have contacted the US Government, and are in a secret alliance with them that involves them trading technology to us in exchange for cow lips.
I shouldn't forget of course that the moon landing was faked, that GM has invented a car that runs on water, and that the world is really run by an evil organization, members of which are the worlds banks, the UN, and the Rand Corporation.