that could happen, we already get people who are unhappy with VM's sticky ip's who post on VM's forums trying to get a new dynamic ip because I assume they have done something naughty.
Although with the recent attention brought to copyright infringement it wouldnt surprise me if BT have got a way of tracking these sort of things to users.
logging established connection points but not the content's probably isnt that hard to do.
BT Infinity 2 Since Dec 2012