Since there never was any grayish wool like jacket found , then BW Frazier should be consulted if he could possibly confirm Oswald’s light gray jacket that is documented as evidence , as the jacket that Oswald was wearing on the Nov 22/63 Friday morning ride to the TSBD.
If so then Oswald’s light gray jacket was the one he likely was wearing when he left the TSBD after 12:33 pm.
But Oswald was NOT wearing that gray jacket when he was out on the front steps if he is Red Shirt Man in Hughes film.
Therefore , Oswald had to have returned back into the TSBD to go get his light gray jacket before he left the TSBD a few minutes later.
The light Gray jacket sort of reconciles Whaleys account since Whaley imo was a little over zealous to support the WC so he said he saw BOTH the light gray jacket and the blue jacket which he kind of morphed into a singular “work” jacket.
The light Gray jacket certainly fits better with Earlene Roberts having seen (she thought) at a glance, as Oswald entered the boarding house, that Oswald was wearing a light colored long sleeve shirt.
Oswald then took off his “work” light gray jacket and his “work” reddish solid texture shirt, to change to the darker brown shirt with hole in the sleeve and to his dark BLUE jacket.
That light gray jacket was therefore probably left at and thus found at Oswalds boarding house room and thats why it did NOT have any signs of dirt or motor oil on it from being (allegedly) thrown under a car in a parking lot, and it had no signs of any gunpowder residue on the end of the sleeve as likely would be the case, , since the sleeves of the Tippit gunman were probably NOT rolled up at time of shooting, and since witnesses of the Tippit shooter would likely have remembered such noticeable detail.
The BLUE jacket , therefore is more probably the jacket that Roberts saw Oswald zipping up on his way out the house, since it’s unlikely she would perceive a light gray jacket as “ dark” blue.
The BLUE jacket, therefore, was probably the one that Oswald was wearing when he entered the theater at approx 1:15 pm ( per Burroughs) which is just about the right amount of time from leaving boarding house at 1:04pm ( 11 minutes) Oswald needed to walk about 0.9 mile to the Texas theater.
The BLUE jacket was left in one of the seats that Oswald sat in before or after moving around several times at around 1:20 pm eventually sitting near Jack Davis.
The act of Oswald apparently getting up to move when the lights came on when the DPD entered the theater, and then Oswald STOPPED, may be an indication he was ABOUT to get his jacket from some other seat nearby, that he had left it in earlier, but halted because the police entered.
So the BLUE jacket theoretically got returned to the Domino room of TSBD because it being found in the Theater exonerated Oswald of being the Tippit shooter.
The Light GRAY jacket likely found in Oswald’s room at 1:30 pm had to becomes the broken chain of evidence “white “ jacket that was claimed to be the jacket worn by the Tippit shooter otherwise It’s extremely doubtful Oswald could have been the Tippit shooter.
So then Brewers account of seeing Oswald without any jacket on at approx 1:30 pm necessitates Oswald leaving the theater some time after 1:20 pm for some reason and being in Brewers store for a few minutes before Oswald then returns to the Theater.
The reason for Oswald moving around to several seats between 1:15 and 1:20 pm, Oswald shedding his blue jacket in one of those seats and Oswald exiting the theater after 1:20 pm then returning to the theater again by 1:35 pm, is an indication he was looking for someone. Oswald then went outside the theater to look around for the person, going as far as to check Brewers store, then Oswald returned to the theater hoping the person would arrive.