Moscow/Cuba was the original CIA cover story.
The “Moscow/Cuba” gambit is what LBJ used when he told Earl Warren to set up an “investigation” and to do whatever Allen Dulles and J Edgar Hoover told him to do.
The CIA created a double of Oswald (pre assassination) to keep investigators after the fact running around in circles. That is a classic intelligence agency approach. The great Le Carre novel detailing the tactic is “The Little Drummer Girl”.
So, you believe the CIA had Oswald's double defect to the USSR in 1959?