The term of office of an elective county official shall not be abridged by reason of the approval of any question providing for the adoption in the first instance of an alternative form of county government or modification, change or abandonment, of any such form previously adopted. If an elective official of the county is continued in office after his office is abolished, he shall perform such related duties for the remainder of his term, unless a vacancy otherwise occurs, as may be assigned to him:
N.Y. Alt. County Gov't Law § 57