Whaleys manifest has Oswald in his taxi not later than 12:45 and this was in conflict with Roger Craig’s observation of Oswald at 12:45 at the SW corner of TSBD and him running to the rambler station wagon driven by DC man.
So the ticket would be useful (they thought) to reinforce the Whaley taxi ride and a ticket added to Oswald’s shirt , so that Roger Craig whom had been a Deputy Sheriff of the Year, could be more effectively discredited.
But they got the wrong estimate (imo) on the shooting of Tippet occurring at 1:15 because maybe somebody thought ( (like Bill Brown 🤔) that the DOA 1:15 document meant the same thing as a physician “estimate” of death and therefore Tippit died 1:15 at 10th and Patton)
IF however, Oswald did in fact tell Fritz about boarding a bus , and IF Oswald really did shoot Tippit, then is it reasonable to suspect that Oswald maybe just made that up to try To aid himself by discrediting ( in his mind) the Whaley taxi ride ( perhaps Oswald saw Whaley write in the 12:45 block of his manifest) by Oswald claiming to be on a bus getting a ticket at 12:45?
This is why I’d rather just disregard the bus ticket and Oswald on the bus as late as 12:43 as unsubstantiated and just go with Whaleys 15 minute variable 12:30-12:45 manifest block in which case it’s possible therefore that Oswald got in the taxi as early as 12:40.
Then the 1:07 timeline arrival to 10th and Patton works , the clocks and watches of Bowley and Markam don’t have be running 6 minutes slow, and Tippit is shot by 1:09 and the Bowley call made at 1:10, and the ambulance dispatched gets to the scene by 1:12, loads the body in 30 seconds, returns to hospital by 1:14:30, unloads body to emergency room in another 30 secs, where the doctor notes the time is 1:15 as he pronounces Tippit dead.