Unanswerable, and irrelevant because not only can the premise not be proven correct, but knowing the answer to that question wouldn’t prove anything one way or the other anyway.
It proves a lot John.
Oswald was seen zipping up his jacket as he left the rooming house.
A short distance away he was seen at the Tippit crime scene killing Tippit with a gun and wearing a jacket.
Oswald who was trying to alter his appearance after killing Tippit was seen entering a car park where his jacket was found.
Oswald was seen not wearing a jacket while passing Johnny Brewer and at the front of the Texas Theater Oswald was not wearing his jacket.
Oswald was arrested with the same gun which exclusively matched the shells Oswald was seen discarding at the Tippit crime scene.
Some of the jacket eyewitnesses at the Tippit crime scene who positively identified Oswald
Mr. BENAVIDES - I would say he was about your size, and he had a light-beige jacket, and was lightweight.
Mr. BELIN - Did it have buttons or a zipper, or do you remember?
Mr. BENAVIDES - It seemed like it was a zipper-type jacket.
Mr. BALL. What did you tell them you saw?
Mr. CALLAWAY. I told them he had some dark trousers and a light tannish gray windbreaker jacket, and I told him that he was fair complexion, dark hair.
Mr. BALL. What kind of a jacket, what general color of jacket?
Mrs. MARKHAM. It was a short jacket open in the front, kind of a grayish tan.
Mr. BELIN. Was the jacket open or closed up?
Mrs. DAVIS. It was open.
Mrs. MARY BROCK, 4310 Utah, Dallas, Texas, advised that on the afternoon of November 22, 1963, she was at the Ballew Texaco Service Station located in the 600 block of Jefferson Street, Dallas, Texas. She advised that at approximately 1:30 PM a white male described as approximately 30 years of age; 5 feet, 10 inches; light—colored complexion, wearing light clothing, came past her walking at a fast pace, wearing a light—colored jacket and with his hands in his pockets.
Mr. BELIN. Let me ask you this now. When you first saw this man, had the police car stopped or not?
Mr. SCOGGINS. Yes; he stopped. When I saw he stopped, then I looked to see why he was stopping, you see, and I saw this man with a light-colored jacket on.
Mr. BALL. How was this man dressed that had the pistol in his hand?
Mr. GUINYARD. He had on a pair of black britches and a brown shirt and a lithe sort of light-gray-looking jacket.
Mr. BALL. A gray jacket.
Mr. GUINYARD. Yes; a light gray jacket and a white T-shirt.Oswald's jacket in the carpark.
The DP initials on Oswald's jacket
Oswald without his jacket, after punching McDonald and being arrested at the Texas Theatre.
JohnM