I guess that there might be a size issue here. In a large parish such as yours, there might be some merit in setting up such a process, although, in percentage terms, you'd still only be listening to a tiny minority. For a small parish, we'd only expect five or six responses, which wouldn't change our understanding of the situation.
In my many years of local government experience, I've seen countless public consultations in which the instigating council has failed to determine beforehand what, if anything, it will do as a consequence of the exercise. They consult because it feels like the right thing to do, discover that only 20% of the target audience can be bothered to respond, of whom 52% are in favour and 48% are against, so the difference between the two is 0.8% of the eligible public. Acting on the instructions of 0.8% of the population creates an interesting precedent for future responses to public petitions for local causes.