Of course you don't agree. Is that supposed to be some sort of surprise?
You cannot change the facts. The facts are that multiple witnesses said that they saw Oswald at Tenth and Patton (or fleeing down Patton) with a gun in his hand and wearing a jacket.
Nobody wants to chance facts. One fact is that multiple witnesses can be wrong. Denial of that obvious possibility is a logical fallacy and simply exposes your bias agenda. You can repeat the same thing over and over again as much as you like, but that does not change a damned thing.
If Oswald left the rooming house without a jacket or did not have enough time to get to 10th/Patton, the witnesses must be wrong. It really is a simple as that. Now, before you go off on another tantrum, I am not claiming that the witnesses were in fact wrong, because that would make me just as dishonest as you are. I'm merely saying that the evidence simply isn't conclusive enough to reach a conclusion either way.