Profiling
In the Data Protection Act, personal data is defined as meaning "data which relate to a living individual who can be identified(a) from those data, or (b) from those data and other information which is in the possession of, or is likely to come into the possession of, the data controller.
They key point to note is (b). If there is a means by which supposedly anonymised data can, with other data likely to come into the possession of the data controller, be traced back to an individual, then that supposedly anonymised data is personal data and therefore subject to the provisions of the DPA, which requires the consent of the individuals to whom the personal data relates.
Since IP addresses and user account details are certain to be "in the possession of" BT, they can hardly claim that their actions do not contravene the DPA.