A village district may vote to adopt the non-partisan official ballot system for the election of district officers in the same manner as towns, as provided in N.H. Rev. Stat. § 669:13 in which case it shall be subject to the provisions of N.H. Rev. Stat. § 669:13 and 669:19-669:24. A village district which has not adopted the non-partisan ballot system but which votes to elect district officers by ballot shall be subject to the provisions of N.H. Rev. Stat. § 669:54-669:60 for the unofficial ballot system in towns. No village district may vote to adopt a partisan ballot system.