LBJ recorded phone call to FBI Director J. Edgar Hoover: “Have you established any more about the (Oswald) visit to the Soviet Embassy in Mexico in September?”
Hoover: “No, that’s one angle that’s very confusing for this reason. We have up here the tape and the photograph of the man who was at the Soviet Embassy using Oswald’s name. The picture and the tape do not correspond to the man’s voice, nor to his appearance. In other words, it appears that there is a second person who was at the Soviet Embassy.”
Another damning thing about the Oswald in Mexico City story is that the person they claim is Oswald called the Cuban embassy first, and in perfect Spanish, asked about consular open hours, the Visa application process, necessary documents, etc.
Guess what? Oswald never spoke Spanish.
The whole Oswald in Mexico City was a false flag set up to promote the idea that Oswald was working with the Soviets and Cubans somehow, as part of the assassination plot. Somebody orchestrated a fake Oswald to physically go down there and establish this paper trail as part of the narrative before the assassination.
Who would do that and why would they do that? Here is the diagram of the photo surveillance locations they used for monitoring the Soviet Diplomatic Compound in Mexico City at the time:
CIA also had at least 200 assets in Mexico City embedded in the Soviet and Cuban compounds, wire taps, informants, with daily briefs to the Station Chief. This is business-as-usual, so the Station Chief would have known a vast amount of information about anyone going in and out of that area, complete with photographs, voice recordings of their phone calls, travel logs for any transportation method they used to get in and out of the area, etc.
The Soviets, Cubans, and Mexicans did all of the same stuff.
To-date, there are no photographs or recordings of Oswald in Mexico City.