Tax "fighters" are really tax shifters.
Local services ( school, road agent, etc) are paid for with local property taxes plus whatever revenue comes from the state or federal government.
State and federal aid comes from taxes on multiple sources, many of which you have control over ( for example, you can stay overnight at the Eastern Slope Inn instead of the Mt Washington Resort - your Room & Meal tax will be quite different !). But your property tax is not under your direct control.
When state aid is decreased by tax "fighters", the burden of making up that difference is shifted to you, the local property tax payer. Or the service must be cut.
Other articles on this site provide more detail, and supporting references, about how tax "fighters" raise your property taxes.