Unconventional superconductivity is generally expected to be strongly suppressed by nonmagnetic disorder, as captured by Abrikosov-Gor'kov (AG) theory. However, several materials, including transition metal dichalcogenides (TMDs), exhibit signatures of unconventional pairing despite relatively high resistivities, suggesting a breakdown of the conventional relation between momentum relaxation and pair breaking. Here, we study this problem in H-phase TMDs by computing the disorder-dressed pairing susceptibility. We employ a minimal model with spin-orbit coupling and include an impurity potential that mimics a common lattice defect, namely, a chalcogen vacancy or site ad-atom. This yields to an extended impurity potential, which we compare with the commonly considered on-site (point defect) potential. We evaluate the momentum-relaxation rate and the pair-breaking rate on equal footing. We find that extended impurity potentials lead to a parametrically reduced pair-breaking rate compared with the transport scattering rate, with $\mathrm{\Gamma }{\tau }_D\sim 1/3$ over a wide parameter range. This reduction originates from the momentum structure of the disorder potential, which partially matches the internal structure of the superconducting gap and suppresses pair-breaking processes. As a result, unconventional pairing states are significantly more robust than predicted by standard AG theory. Our results provide a natural explanation for the persistence of unconventional superconductivity in systems with strong disorder and substantially alleviate the apparent conflict between high resistivity and unconventional pairing in materials such as $4Hb\text{−}{\mathrm{TaS}}_2$.

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• Multiband superconductivity
• Superconductivity
• Unconventional superconductors