Okay, that finally clarifies it.I now see that the Carvin S600B comes with an AC power connector and will internally charge the 12V battery (appears to be 7Ah) from AC mains power. Carvin supplies a 12V adapter cable that is intended to be plugged into the 12V automotive charging system (even though the auto charging voltage greater is than 14V).
I have not said that the manufacturer has labeled it incorrectly. That is the your way of interpreting it.
Bob