Gillianren we may never know for sure one way or the other.
The coincidence is that in Dealey Plaza at that moment in time, 2 men can be found standing next to each other that are dead ringers for the 2 CIA commanders responsible for the failed Bay of Pigs operation, that 2 men can be found escorted by police that look like two CIA leaders in the S-Force assassination squads, accompanied by a third man that looks like a known assassin and one man that looks like Oswald's killer.
Finding a look a like of any one of these men present in Dealey Plaza should be surprising, finding 6 men that are significant should be highly unlikely.
"we are dealing with likelyhoods and probabilities"
The probability of all of these men actually being present in Dealey Plaza must be vastly inhanced by the admission of E Howard Hunt, that he was present in Dealey Plaza during the assassination of JFK, with the stated purpose to back up an assassination team that had the assignment to kill JFK.
This is interesting
The New York Times, October 3, 1963
"The Intra-Administration War in Vietnam"
by Arthur Krock
"according to a high United States source here, twice the CIA flatly refused to carry out instructions from Ambassador Herny Cabot Lodge [and] in one instance frustrated a plan of action Mr. Lodge brought from Washington because the agency disagreed with it."
The CIA's growth was "LIKENED TO A MALIGNANCY" which the very high offical was not sure even the White House could control "ANY LONGER." "If the United States ever experiences an attempt at a coup to overthrow the Government, it will come from the CIA and not the Pentagon". The Agency "represents a tremendous power and total unaccountability to anyone".