David Belin's analysis of Oswald's movements speculated that he was staying off the main routes. And noted that there was a bus transfer point at Marsalis and Jefferson where Oswald could have used his bus transfer. Only about three blocks from the Tippit scene. There is still a bus stop there. That would lend itself to Oswald walking east on Tenth. After the Tippit shooting, he is in panic flight moving in the direction of least resistance. Just playing out his hand in response to what is happening in front of him. Ducking into the theatre was actually not a bad decision if he had only paid for a ticket.
David Belin's analysis of Oswald's movements speculated that he was staying off the main routes. That's the beauty of speculation and assumptions. With enough of it, without any actual evidence, you can get anybody to do anything you like, regardless if it is reality or not.