...the authorities avoided identifying the cop who stopped Oswald in the Lobby...
They "avoided" it because they knew it never happened. No cop ever "stopped Oswald in the Lobby" of the Depository. Oswald was stopped only one time in the TSBD by a policeman on 11/22, and that was by Marrion Baker, of course, and that occurred in the second-floor lunchroom. That fact was verified for all time by Roy Truly (and by Baker too).
More here:
https://jfk-archives.blogspot.com/2019/02/jfk-assassination-arguments-part-1308.html#DMN-11-23-63