Back to the topic of Givens … from what I’ve read of Givens vs Bonnie Ray Williams WC testimony, Givens used the EAST elevator while Williams used the WEST elevator. Givens took the East elevator from
the 6th floor at about 5 minutes to 12:00
back down to the 1st floor and he saw that the west elevator was not there on the 1st floor.
Williams said he used the West elevator to go to 6th floor about 12:00. So unless somebody else used the West elevator between Givens and Williams, then Williams was going up in the West elevator when Givens was coming down! 
Of Givens account is true, and Williams account is true, then Oswald still on the 6th floor at 5 minutes till
12:00 had TWO opportunities to have gone down to the 1st floor riding either with Givens or using the West elevator just a mere 30 secs later when Williams arrived to the 6th floor.
So IF Givens 5min till 12:00 East elevator trip to the 6th floor is true and he saw Oswald there and IF Bonnie Ray Williams 12:00 West elevator ride to 6th floor is true an BRW did NOT see Oswald there, and IF it’s true that Eddie Piper saw Oswald on the 1st floor at 12:00, then it is an extremely high probability that Oswald used the stairs to get down to meet Piper at 12:00.
So this leads to question why would Oswald turn down 2 opportunities to ride on an elevator down to the 1st floor, electing instead to trek down 6 flights of 18 step staircases and 120 ft of floor landings? Did Oswald like exercising that much? Or did as he trying out the stairs for some other reason?
Oswald was trying to get down to the first floor while the elevator race was on.
Both elevators were now on the first floor.
Givens never went back up to the 6th floor.
Williams took a few minutes to clean up, collect his lunch and buy a bottle of Dr. Pepper before returning to the 6th floor. He could have been on the 6th floor as early as 11:55am.
Oswald was seen on the first floor by Piper around 12 noon which means he did make his way down from the 5th floor. He either called up an elevator and rode it down or, if the gate had not been put down, he had to get down using the stairs.
The point is that the Givens story about going back up to the 6th and seeing Oswald near the southeast corner was a total fabrication.
We know from the testimonies of Lovelady, Williams and Arce that Oswald wanted to get down to the first floor.
We know from the testimony of Piper that he did make it down to the first floor.,
But all this testimony was deliberately omitted in favour of the fake Givens story which gave the impression that Oswald was last seen on the 6th floor near the location from which the shooting had taken place when, in fact, he was last seen on the first floor around 12 noon.