1: Why no fingerprints of Oswald or McWatters on the bus transfer ticket? Its paper, and it was gripped by thumb and forefinger most likely.
2. Oswald had to have doubletimed during some part of the distance after leaving McWatters bus, if he ever was on it, because otherwise, he cannot enter his boarding room until about 1:03 at the earliest.
Where did Oswald most likely "doubletime" ie: jog? Not likely after having left Wally Taxi, because the whole point supposedly of having bypassed his house by 5 blocks was concern about being followed or if someone might be actualy at his boarding room. So Oswald probably would have approached the house cautiously, not running.
So that leaves the 4 block route from McWatters to Wally Taxi, where Oswald has to doubletime cutting the time to about 2 minutes to travel 4 blocks, so that he arrives at Wally Taxi approx 12:45, and then Wally drops Oswald off 9 min later at 12:54, allowing 5 minutes to walk 5 blocks so Oswald can enter boarding house approx 1:00pm.
Even with this hypothetical doubletime, however, Oswald still is not exiting uniil 1:03 and since he must reach 10th and Patton by 12:12pm, he only has really about 9 minutes to get there. He therefore must have doubletimed part of the way.
Why would Oswald be doubletiming along a sidewalk, carrying a pistol, if he just wanted to go see a movie?
Its even questionable if Oswald was ever intending to go to the Texas theater in the 1st place, because he deviated from his southern route to go EAST and this BEFORE Tippit ever starts following him in a car. This is per the WC own diagram of the route:
