Researcher Greg Parker has an interesting theory and that is that Oswald had no knowledge of the upcoming murder. In other words he was completely innocent and the reason why he was murdered was not to shut him up about what he knew about the plot, but just to shut him up. I've thought about this and I agree with this now.
I also believe he WAS being manipulated but unknowingly about the murder itself. I believe he was a [very] low-level agent doing "intelligence" about Communists. Thus, the handing out of the leaflets in NO, getting on TV later about it and looking proudly as he explains who he is, and so on. Doing this allowed him to be photographed where his head could later be put onto the BYP. His alias was also a ruse. Doing this showed him to be a rabid Marxist and so on.
This all started, too, the moment he did the fake defection, then returned. There are others out there who we've never heard from again who also did this kind of thing. Robert Webster was another of them.
He asks a co-worker what the commotion was. When he was told the President is coming, he says "oh." He later says in front of TV cameras that the only reason why he was arrested was because he lived in Russia, then went on to say he was a patsy.
He stated the BYP were fake, with his head pasted. He said he'd be able to show how that could be done [because after all, he worked at a photo place].
He supposedly kills the president but has no grand getaway plan. He supposedly sticks around the building, is dismissed from work, walks over to catch a cab home, gives it up for a lady, takes the bus home, changes his clothes, then takes this long roundabout walk where he supposedly is confronted by Tippit, where he guns him down. Then he goes to the theater. The "6 foot 160 lb" description goes out within 15 minutes of the murder. How do they know this so soon? And it's not even accurate, far from it.