State Assemblyman Fred W. Thiele Jr. has been unremittingly critical of PSEG Long Island and LIPA, both for the utility company’s reluctance to discuss burying the high-voltage lines with East Hampton Village and Town, and because of the state-sanctioned handoff of Long Island’s electricity supply responsibilities from LIPA, which still owns the delivery infrastructure, to PSEG. Last month, he introduced legislation designed, he said, “to restore some degree of transparency and oversight to the activities of LIPA and PSEG-LI.”