Any provision of sections 9-382 to 9-450, inclusive, to the contrary notwithstanding, no primary shall be held by a party for the election of a member of a town committee unless candidacies for such election numbering at least twenty-five per cent of the number of town committee members to be elected by such party either in the municipality or in the political subdivision, as the case may be, are filed in conformity with the provisions of sections 9-400 to 9-414, inclusive, by persons other than party-endorsed candidates.