Yes and no. Utah state property tax law is set up in a way that taxing entities (cities, counties, school districts, etc.) receive the same amount of revenue year to year regardless of property values rising or falling. Each year, the State uses property value data and tax revenue targets to calculate tax rates so that, on average, residents don’t pay a different dollar amount year to year. If property values rise, the tax rate then decreases. The overall revenue that the city receives stays the same, except when there is new growth (which regularly occurs in Herriman). When there’s new growth, the new homes are taxed at the same rate as existing homes, so revenue increases alongside the growth. But the rate stays the same.
However, if a taxing entity needs more revenue than population growth alone is providing (such as for inflation), they can choose to raise the property tax rate in order to reach a higher revenue amount.