At the very least, Oswald’s weird behavior at Brewers store ie: just stopping inside the door but not going to look at merchandise, is the 1st indication that Oswald was fearing to be seen by police cars.
Then Oswald going past the ticket booth without stopping to look at the police cars going back and forth as Julia Postal and other people were doing, is further reason to believe Oswald was fearing being seen by police cars, and wanted to hide asap.
Oswald was not wearing a jacket when seen by Brewer at approx 1:30pm, nor when Oswald was seen by Brewer going past the ticket booth as Brewer followed Oswald.
Add the witness Markam at the Tippit scene pointing out Oswald as the man she saw shooting Tippit ( she saw his face close up) it gets a little difficult to counter the scenario that Oswald shot Tippit while wearing a jacket, then fled the scene , and ditched the jacket.
The only CT alternative I ever read on this forum to attempt to explain Oswald in front of Brewers store not wearing a jacket , was by Alan Ford.
The basic scenario was that Oswald had never gone to McWatters bus, and instead he had gone straight to Whaleys Taxi , entering it at about 12:40. That allowed Oswald to have entered his boarding house as early as 12:52.
Oswald changed from his reddish brown shirt to his other brown shirt with the hole in the sleeve and put on his blue jacket. He exited the boarding house about 4 minutes later at 12:56.
Oswald then walked to the Texas theater arriving there at 12:14. He bought a ticket and went in to the concession stand and bought popcorn from Butch Burroughs at 12:15. Oswald then moved around to several different seats, sitting in one by Jack Davis at about 1:20 possibly ( Davis not exactly certain of the time but estimated 1:20)
Oswald then took off his blue jacket, leaving it in the seat, and exited the theater to walk over to Brewers store to look at some shoes since the movie was not going to start for another 15 minutes. Oswald then returned to the theatre about 1:35, not stopping by the ticket booth because he had already paid for a ticket earlier.
The rest of this Alan Ford CT scenario gets even more improbable with the explanation for the revolver in McDonalds hands and how that revolver was linked to bullets and shells and how it was all planted after the fact.And the light gray jacket was taken from Oswald’s room and planted while his blue jacket which was left in the theater, moved to the Domino room of TSBD a month later ( for some reason?)
It’s about as bizarre a CT theory as Fords
“Oswald out front burning a flag by the mail box”scenario and Baker originally running towards the mailbox until he changed his mind and went up the TSBD steps. 🙄