Do the licensing conditions require taxi services to report contractor addresses, telephone numbers, and rider history
immediately anytime there is
any potential criminal dispute?
If so, then essentially your history is an open book to any UK police departments.
If not, then your ride history is safe under the Data Protection Act.
DPA isn't some black magic. Medical providers are required to report abuses as well, but they don't send patient history or tell who else an employee has worked with or on unless there's a formal request.
Regardless, I hope that Uber comes into compliance with the ULL shortly, and their future behavior is not merely in line with the standard but better than that of other smaller minicab companies.