I couldn't get the links to work either.
Try
this for Amex companion ticket terms and conditions and
this for standard redemption rules.
However, it only says "
A fee as specified online at ba.com will be charged if flight bookings for Award travel are cancelled by the Member prior to departure. Provided a cancellation is made more than 24 hours prior to the scheduled departure of the first flight in the Award itinerary the Mileage charged for the Award will be re-credited to the Member's account."
Not very helpful. I think from memory the cost of a CE cancellation was £30 and you get the miles/241 back.