Here is my suspicion: Oswald took the entire bag (with Tag label containing Mrs Paines address ) containing rods and some blinds from Mrs Paines garage.
Entering the door of the roofed enclosed dock bldg about 20 seconds ahead of BW Frazier, Oswald hid the bag in some container before entering TSBD back door at which point, Jack Dougherty saw nothing in Oswalds hands
Oswald of course forgot about his bag of rods and blinds in his anxious departure from TSBD at the post assassination time.
The Bag was discovered by some TSBD employee weeks or month later, , and if there was an address of Paine residence on it, The bag may have been submitted as “lost item” at 1st until someone higher up in the CYA DPD immediately understood the significance of this bag and took charge of the item to “return it” to the owner.
I can’t remember if Mrs Paine was on vacation but if so, that would be probably when the bag would likely have been returned without her knowledge.
In effect, someone dedicated to the WC narrative of Oswald bag containing MC rifle, decided it was imperative to get this bag of rods and blinds back into the Paines garage ASAP and pray that Mrs Paine was unaware the bag had ever been removed
Then they would CYA again with a fake”inspection” of Mrs Paines garage on the date she returns from vacation, in order to create false “proof” that no bag,rods or other items were missing from Mrs Paines garage, this securing the WC paper bag made with TSBD paper by Oswald to carry his rifle into TSBD on Nov 22/63