NOTE TO MR CAKEBREAD: I have deleted my most recent posts, as they were founded on a misunderstanding of the door(s) you meant!
Now! Why on earth does seeing south of the elevators have to be the only way Officer Baker could have seen the man "walking away from the stairway"?
It clearly didn't happen on the third floor Alan.
The space is too small.
Why would Baker have to call out to someone he could have leaned over and touched.
How could Oswald be described as coming back towards Baker when it would have taken two strides.
It doesn't make any sense.
Baker was mistaken, his statement displays this uncertainty, he was unfamiliar with the building and full of adrenaline. The only reason he mentions the encounter is because it's the only thing of any significance that happens during his "search" of the TSBD.
There is no invented hoax. You can't provide one scrap of evidence that it exists. But that won't stop you waffling on about it.