Yes, Mr Storing, it points up the contrived character of Mr Oswald's alleged claim! 
(Compare Mrs Reid's brilliant recollection of a coke----a full coke, mind-----in Mr Oswald's hand.)
Another point of curiosity!:
If one were to read Mr Oswald's supposed words here in isolation----------
"Mr Truly was present and verified that he was an employee and the Police Officer thereafter left the room and continued through the building"
----------one would gain the distinct impression that Mr Truly had been present in the lunchroom with Mr Oswald all along, and that the police officer continued on his search alone.
What makes this so curious is its resonance with what Ms Pauline Sanders told the FBI on the Sunday:
Which would be a very odd error for Ms Sanders to make, given that she was out front and must surely have known that Mr Truly had been out front too and so could hardly have been inside lunching with Mr Oswald!
One assumes-------one must assume--------that the agent misunderstood Ms Sanders.
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However! I once saw it suggested on one of the forums that there was an Oswald-Officer incident in that lunchroom, but that it happened before the shooting and the officer was not Officer Baker. Mr Truly was in the lunchroom with Mr Oswald, who would have assumed this was part of a pre-parade security sweep of buildings in the area.
This is, I think, the only scenario by which Agent Bookhout's solo-written report-----
Oswald stated that on November 22, 1963, at the time of the search of the Texas School Book Depository building by Dallas police officers, he was on the second floor of said building, having just purchased a Coca-cola form the soft-drink machine, at which time a police officer came into the room with pistol drawn and asked him if he worked there. Mr. Truly was present and verified that he was an employee and the police officer thereafter left the room and continued through the building. Oswald stated that he took this Coke down to the first floor and stood around and had lunch in the employee?s lunch room
------could be anything other than a lie. "[A]t the time of the search of the Texas School Book Depository building by Dallas police officers" would mean the supposed pre-parade security sweep of the building. (Mr Oswald being lured into a false sense of security.)
All a little too complicated for my taste though!
A much cleaner solution:
1. Mr Oswald visited the 2nd fl lunchroom before the motorcade (seen there by Ms Arnold & Ms Stanton)
2. He went back down to the 1st floor and stood around eating lunch (noticing Messrs Jarman & Norman coming in by the back door on their way to the back elevator)
3. Hearing the excitement rise outside, he hurried down to the front entrance and stepped outside (seen by the film cameras of Messrs Hughes, Wiegman & Darnell)
4. After the shooting, an officer with pistol drawn (Baker) came charging into the building and asked him if he worked there (=looking for help finding the stairs)
5. Mr Truly came up, identified himself and offered to help the officer
6. Mr Oswald told all this to Captain Fritz
7. DPD told the press all about the incident at the front entrance
8. Once it became clear just how soon after the shooting this incident had happened, it was moved away from the front entrance and near to the back stairway (this happened Friday pm)
9. Mr Oswald's actual claims were rewritten------to ludicrous effect------so as to 'corroborate' the new lunchroom incident.
Whenever you can prove beyond reasonable doubt that the 5'3" height of Prayer Person is explained by either "leaning", "stepping down with one leg" , then that would be great.
By logical speculation :the reason for Oswald to have returned thru the front door BEFORE Baker and Truly, is because Oswald needed to get his jacket. 3 places most probable to have left his jacket, are 1. the storage room by the front staircase. 2. the Domino room. 3. the 2nd floor lunchroom.
If this premise is correct, then the meeting of Oswald by Baker could be 1. in the front lobby after passing by the front storage room and Oswald comes out. 2. In the Domino room as Baker and Truly pass by it, and Oswald comes out. 3. In the 2nd floor lunchroom, Oswald having gone up the front staircase, and was on the 2nd half of the staircase, thus out of LOS of Baker and Truly when they entered the front lobby. Oswald reaches the 2nd floor lunchroom via outer hallway or going thru the 2nd floor office, and is in the 2nd floor lunchroom about 10 sec before Baker/Truly arrive 2nd floor landing using rear staircase.
The hypothetical scenario option is that Oswald went to the storage room because:
A. Its the closest place to have suddenly been out of sight in only 5 seconds entering the lobby. Going across the lobby in only 5 seconds also could have been missed being seen by Eddie Piper and Troy West, since the lobby is blocked from LOS to where Piper and West were standing on the 1st floor on the other side of the office area.
B. going up the front staircase, and using the hallway or 2nd floor office to get to the 2nd floor lunchroom is in conflict with Geneva Hine being in the hallway and also entering the office in the 40 to 60 sec post shot range of time.
C. going across the lobby, opening the 2nd set of doors, getting thru the locked counter top office area, and then acoss another 50 ft approx to reach Domino room, unseen, not only by Baker and Truly entering lobby just 5 to 10 second after Oswald, PLUS the presence of Eddie Piper and Troy West on the 1st floor over about midway and with LOS to Domino room, the 1st floor office area, the rear elevators and rear stairs, makes this option less probable.
