The ARX structure plays a crucial role in symmetric-key primitives, with differential-linear (DL) attacks being among the most effective cryptanalysis techniques against ARX ciphers. In this paper, we present a systematic re-decomposition technique for DL distinguishers of ARX ciphers and identify for the first time the hourglass(-like) structural commonalities among optimal DL distinguishers searched out by various deduction techniques, also supported through comprehensive experiments, which motivate us to develop an efficient and generalized approach to construct optimal hourglass(-like) structural DL distinguishers. Our method yields significant advances when applied to Speck, Alzette, and the underlying permutations of SipHash and Chaskey: (1) the first 11- to 14-round DL distinguishers of Alzette; (2) the first (valid) DL distinguishers for 11-round Speck32, 12-round Speck48, and 16-round Speck96; (3) deterministic (correlation \(\pm 1\) ) 3-round DL distinguishers for SipHash-2-4 and significantly improved 4-round ones. All these distinguishers are equipped with both theoretical and experimental verifications. We further analyze ARX-based Latin dance stream ciphers, achieving improved DL distinguishers for 7/7.25-round ChaCha, 8-round Salsa, and 5.5-round Forró. Though some of the improvements are not significant, we have verified the effectiveness of our method across a broader range of instances. This work provides new insights for DL distinguisher construction and enhances understanding of the security of ARX ciphers.