Counter to that, a lot of people I talk to locally (usually younger people) have expressed frustration because local politicians are not able to meaningfully help with important issues.
If businesses aren't hiring anyone, or the landlords are pushing rent too high, or the cops keep mugging people, that isn't something your local council can really help with. Sadly it's not clear who can help with it, and I think that leads to a sense of the illegitimacy of electoralism.