Right, but the intriguing thing to me is that they processed his application. Why not just throw it away? He's viewed as a crank, an oddball that they wanted nothing to do with. And then they sent it on? Mirabal signed off on it; and he said that he thought Oswald might have been a "provocateur" sent to cause problems.
As to finding it: again, it would be given contingent on him presenting a Soviet visa. He shows them his Soviet visa and they give him a transit visa.
But our conspiracy friends can answer all of this: it wasn't Oswald. It was a double. Two Oswalds, two rifles, two Zapruder films (at least), two gunmen, two autopsies.....it never ends.
In Dallas Oswald kept a low-profile and didn't do much to draw attention to himself.
In New Orleans and Mexico City, he did everything but keep a low profile. He did lots of things to draw attention to himself.
Despite all that, there are no photos of him in Mexico City. I don't think that is coincidental.
The most obvious possibility is that it was a charade and he was being used as some sort of Intelligence asset (witting or unwitting).
The intent of the project may have had more to do with FBI/CIA attempts to sabotage the Fair Play For Cuba organization than a conspiracy to make Oswald look suspicious weeks before the Kennedy assassination.
There's too much smoke around Mexico City to say that all the weird stuff was just coincidental...