Batched encryption (BE) has emerged as a novel public-key cryptographic paradigm that enables the efficient decryption of a designated batch of BB ciphertexts simultaneously. By incorporating threshold decryption capabilities into this framework, batched threshold encryption (BTE) further decentralizes the decryption process. While both BE and BTE serve as highly effective solutions for mitigating Miner Extractable Value (MEV) attacks in blockchain networks by providing robust mempool privacy,