So, now you don't think Oswald was even wearing a jacket when he left the rooming house!
I don't know for sure what Mr. Oswald was wearing. Neither do you.
You think Roberts might have been wrong about that even though it's you who is relying on her testimony concerning a dark coloured jacket to try and make some kind of point.
IF (as
you believe) she got the color all wrong, then it's possible she barely looked at him leaving. Perhaps all she noticed was that he was wearing a darker top (CE150) than he had come in with (CE151) and, not realizing he had changed shirts, assumed he had put on a jacket----------and mistook his buttoning it up for his zipping it up. In her memory, she later equated this with a dark jacket she had previously seen him wear.
It's also possible, however, that she saw just what she said she saw: Mr. Oswald leave in a dark gray jacket.
But when you're asked a simple question - how did Oswald "lose" this jacket between the rooming house and the Texas Theater? - you find you have no coherent answer.
No, you just don't have the gotcha you thought you had.
IF Mr. Oswald left the rooming house wearing his 'Minsk' jacket, then it's perfectly possible (albeit unprovable) that he simply took it off inside the cinema.
We have good reason to believe that, at the time Mr. Brewer saw 'him' at Hardy's shoe store, the actual Mr. Oswald was already in the cinema.