What was the purpose of Oswald seemly desperate to leave TSBD and get to his boarding house ASAP ?
One of the reasons to suspect the Mrs Reid meeting Oswald just after Baker/Truly is that Oswald was NOT in a hurry which does not fit the WC theory he was anxious to escape
So imo, the bus trip never really happened and the bus transfer ticket that had neither McWatters fingerprints nor Oswalds, was planted to make create the illusion Oswald was in a hurry
Zeon, was McWatters lying when he said he picked up a man near Elm & Field (not a bus stop, while the bus was stopped in traffic) who then got back off the bus a few minutes later after asking for a transfer?