In my opinion Oswald's job was to set up the sniper's nest. His prints would be found on the boxes inside the sniper's nest, but order filling/handling boxes with books inside them was his job. Easily explaining his prints being on those boxes. After setting up the sniper's nest, he was instructed to establish his alibi by being inside the 2nd Floor Lunchroom. That's exactly where Baker and Truly found him.
Storing,
How many evil, evil, evil "Deep State" guys and gals do you figure were involved with the planning, the "patsy-ing," the shooting, and the all-important cover up?
Just a few, or oodles and gobs?
Was Oswald a knowing martyr for "the cause," or was he duped?
If the latter, under what pretense?
A government sanctioned "test" of the Secret Service or some-such thing?
Was he aware that JFK would be "hit"?
Gasp . . . was he a CIA or FBI agent who had penetrated something really, really evil?
Wouldn't it have easier for him to establish his alibi in the second-floor lunchroom if he'd been sitting there eating his crummy cheese sandwich and apple if-and-when someone barged in on him after the shooting? Heck, he could have even gotten his favorite sodie pop -- Dr. Pepper -- from the first-floor Dr. Pepper machine on his way up!
OMG . . . Did he WANT to be seen by the police through the window in the "vestibule" door?
Seein' as how you're a seventy-something MAGAT, you probably hated Communist/Socialist JFK, right?