It is certainly possible. Earlier, years ago, there was a discussion about capping. I can't recall who the contributors were but there was talk of a QC code of conduct. Something to do with QC's having to charge at least a minimum fee in order to keep proceedings equitable. I may be talking pants.
Why don't you ask some of the legal bods at work?

The cost of their own QC and legal team may be capped but there's no such limit on the Council's costs> And I understand there's some fairly high level lobbying going on to ensure the council will pursue. As is the norm in civil cases.