I don't see anything wrong with this.
But remember, he got to the oem and found it locked and couldn't get in. So it was definitely some time after the evacuation of the oem. They didn't meet anyone coming down on their way up, so probably well after 9:45. Probably around 10? They left and found someone with keys and got in and THIS is when he saw the towers standing. How long did it take, wandering around those big floors until they ran into the right guy? A half hour?10:30. How much time inside the oem before they left? 10 minutes? 2 fell while they wandering around inside, trying to figure out what to do and get outta Dodge. In his own complete statement, they then left a second time and THIS is when he makes the statement about the stairwells blowing out. That's when 1 fell.
Your alternative requires stuff happening ridiculously quick. Everything after their first arrival at the oem would of needed to take 30 minutes. That's an insane belief , that a large fellow like Jennings woulda been sprinting around.
Do as some have requested. Put together a time line. Convince us.
We know you can't .........