2 more good reasons:
1) The great haste and rush to judgment by the FBI and CIA to pin it all on Oswald (very likely to keep themselves from being investigated as culprits...)
"So convinced were the FBI and the CIA that Oswald was their man that, as soon as the suspect himself was dead, they began moving to close the case down. Officials at both agencies seemed more interested in covering up their own shortcomings and knowledge of secrets that could have relevance to the president's murder than they were in casting a wide net for a possible conspiracy. Their failures provided fertile ground for the conspiracy theories that have left most Americans convinced to this day that Oswald did not act alone." [The Washington Post]
2) The memo by Hoover less than 48 hours after Kennedy's assassination...
"Just a few hours after Lee Harvey Oswald was killed in Dallas, FBI Director J. Edgar Hoover dictated a memo saying the government needed to issue something “so we can convince the public” that Oswald killed President John F. Kennedy....
Hoover said that the FBI had an agent at the hospital in hopes of getting a confession from Oswald, but Oswald died before that could happen. Hoover said he and a deputy were concerned about “having something issued so we can convince the public that Oswald is the real assassin.” [PBS/NPR]
In any other case before Lady Justice, such a comment would incriminate the speaker... Hoover is most likely guilty and this memo issued so quickly after the event, is likely intended cover himself and his agency... and not a concern for national security. AND certainly not an expression from someone who cares about truth and justice and fairness...