If noise was really the issue here, then I think we have another case of persons not taking account of their environment before choosing to live where they do. We have had people living near farms complaining about cockrell's crowing, we have had people complaining about church bell after choosing to live near a church. If you live near a decent pub you are likely to get morris dancers turning up to perform. Something similar happened to us (Grimspound Border Morris) at a local village many years ago, but at least the people concerned merely came out and explained a particular situation to us politely asking us to finish early - they didn't call the police!
Whilst some may maintain that Wild Hunt are loud I can assure you that many other sides are louder and when the handkie waivers sing a song to start a dance that can equally be loud. What of the sides that have a large row of box players and drummers to accompany them?