When you confirm the archive via the “Confirm Archive” prompt, It’ll notify you that the item was successfully archived, however, the item is not marked as archived and can still be accessed and worn in your inventory. Extensions are disabled or have no access to the page, occurs on all my browsers, temporary files are cleared.
I’ve done some messing around, even though the items don’t appear archived, they will automatically redirect you back to the marketplace if you try to access them with a link on a separate account. This is probably a visual bug.
This is intended behavior. The assets are not supposed to be available on the catalog for users who have already purchased them, which is what’s happening here.