Try, if you will, to imagine Dwight Eisenhower or JFK or Lyndon Johnson or, for that matter, Ronald Reagan chin-wagging with Jack Paar or Johnny Carson. Richard Nixon did, famously, go on 'Laugh In' in 1968, but as a candidate; and to his credit, he rued the day and hated every second of it.
Not much ever really comes of commissions, really. The last one that really came up with something truly concrete was the Warren Commission, and for all its good work, most Americans persist in believing that Oswald was working in tandem with the CIA, FBI, Lyndon Johnson, and the John Birch Society.