I have been asked to reply.
The Government consulted on this proposal in their publication “Control of Noise from Civil Aircraft” before the White Paper “The Future of Air Transport” in 2003. Our conclusion, following consultation, was that such involvement of local authorities in small airports' noise control measures would be too bureaucratic. Not all local authorities in which an airport is situated would be resourced to take a fully informed view of an airport's proposals; there might also be conflicts between the interests of the authority that played host to the airport and those of other neighbouring authorities whose residents were also affected by the presence of the airport.
However, it is possible for airports voluntarily to enter into binding agreements with local authorities.