Yes, and that's why Oswald had to be killed, because the patsy can unravel it all. There's a tendency now to call people who don't believe Oswald acted alone (or more likely, was involved at all) "conspiracy nuts," but there were serious investigations at the time that pointed to the impossibiity of one shooter pulling this off, and when the Warren Report came out, it was immediately dismissed as woefully incomplete and downright erroneous by anyone who knew anything about the assassination. Now evidence is coming out that Oswald was part of the US intelligence community and that many of the actions that were used to paint him as a wacko lefty or whatever after-the-fact were things he was ordered to do. Too bad the full records on him will probably never be unsealed while anyone who was alive at the time of the assassination is still living.
But I digress... I was in 2nd grade at a Catholic school in the fall of 1963, and we all bawled our eyes out at the news.