The whole story of Oswald's plan in going to Mexico City doesn't even make sense. He wanted to get a visa to go to Cuba? And then from there back to the Soviet Union? But, he had a wife. And he had a daughter. And he had another daughter about to be born. So, what was he going to do? Abandon them? Leave them flat? Imagine that. So, here would be Marina, a Soviet woman stranded here with two children by her American husband who returned to Russia to resume living the Socialist dream? Was that how it was going to be? And that was supposed to work out for him? That's what he thought, did he?
It makes no sense for the following reasons:
1) There are no indications that Oswald was not devoted to his family. On the contrary, the indications are that he was very devoted to his wife and kids. There is no credible evidence that he dallied with any other women. Marina told the Warren Commission that when they were living in New Orleans that he did not go out at night, that he stayed home with her. The idea that he was contemplating abandoning his family is completely and totally untenable and unfounded.
2) If he was seriously contemplating returning to the Soviet Union, the obvious sensible way to do it would have been to go through his wife. She was, after all, a Soviet citizen. She never renounced her citizenship. She, presumably, could return to the Soviet Union at any time. Her daughter June was born in the Soviet Union; so they weren't going to keep her out. And let's just say for the sake of argument that they were going to pursue this before Rachel was born, in which case, it was a package deal; Rachel was part of Marina. As for Oswald, he was her legal husband, and in the Soviet Union, as in the United States, being married to a citizen of that country, helps a lot. So, that would have paved the way. That would have been the way to do it- not the other harebrained scheme.
3) There is no evidence that Oswald had enough money to travel to Cuba or Russia. Even if he got the visa, they weren't going to pay his way. He didn't have the money to travel the last time he relocated and had to borrow it. So, who was he going to borrow it from this time?
4) He sure got over it quickly. He gets back to Dallas, starts looking for a job, gets a room, finds a job, and before you know it, he's working regular, and he's visiting his family as often as possible, and he's plotting to get his family back where they are all living together. Are we supposed to believe that his whole mindset about it just suddenly evaporated, that he dropped the whole thing like it never happened?
5) And think about the intensity of him traveling from New Orleans to Mexico City by bus, hellbent on doing this, on fleeing the decadent capitalist system, even at the cost of his family, in order to get back into the Communist realm, and in the midst of such an extreme, drastic, and life-altering quest, he stops to take in a bull fight? A bull fight? What? Did he figure: when in Mexico, do as the Mexicans do?
I am not buying any of it. He said he didn't go to Mexico City, and he had absolutely no reason to lie about it. And if he had gone, he'd have absolutely no reason to think that he could lie about it and get away with it. He'd undoubtedly think that the very fact that they asked him about it was because they knew that he did it and had evidence that he did it, and therefore: what would be the point of lying about it?
The Oswald of fame did NOT go to Mexico City.