So.. IIUC (and it's hard to confirm, because the HAI site really doesn't make this clear, and neither do any of the online dealers or distributors) the "36a05-4" designation is for the "kit", which contains a "36a05-3" adapter and a cable. IOW, you got what you ordered.
similarly, the 36a05-2 kit contains a modular adapter with the designation 36a05-1 and a cable.