They both have, from schedule 7 of the ANO;
Commercial Pilot’s Licence (Aeroplanes)
Privileges:
(1) The holder of a Commercial Pilot's Licence (Aeroplanes) is entitled to exercise the privileges of a United Kingdom Private Pilot's Licence (Aeroplanes) which includes an instrument meteorological conditions rating (aeroplanes) and a night rating (aeroplanes) or night qualification (aeroplane)
Airline Transport Pilot’s Licence (Aeroplanes)
Privileges:
The holder of an Airline Transport Pilot's Licence (Aeroplanes) is entitled to exercise the privileges of a United Kingdom Commercial Pilot's Licence(Aeroplanes) except that the restriction at sub-paragraph (4)(f) of those privileges does not apply.