Which jacket do you mean, Mr. Mytton? The light-colored one (CE162) or the dark one Mrs. Roberts said she saw?
I think John's point is that you can pick either jacket - then explain where that jacket has got to.
Clearly, Oswald was not wearing a jacket when he was arrested but it is accepted that Roberts is reliable when describing Oswald leaving the rooming house wearing a jacket.
Where did this jacket get to?
Did he lose it as he strolled down to the Texas Theater from the boarding house? Did it just fall off him?
Or is it the jacket that was discovered on the same route the killer of Tippit used to flee the scene?
Or was it lost somewhere else?
Either way, a jacket has gone missing and it needs to be explained.