So is the 16K version a later bug fixed version of the original 24K version? That's what it looks like to me. Sounds like they fixed a few bugs and optimized the code a bit, but in doing so they changed the behavior of the 'jumping bug'. I'm guessing they didn't know about that bug or they would have completely removed it.
The above link shows how to execute the level warp glitch on both the 24K and 16K versions, combined into one video. Same YouTube user name of @acolyteman.
My ADAM came with both (cloth and feet) which are still sealed like yours. It was bought several years back in "as new" condition, still had all three data packs sealed as well as the "test print" page from Coleco for the printer.