The presence of kinetic mixing is an essential feature of any model that augments the Standard Model gauge symmetry with an additional U(1) symmetry . We look at the signal process, e+e− → γZ′ → γ+E/ at Belle-II, which is an outcome of this ubiquitous feature. We propose that the γ+E/ signal at the Belle-II detector will be a smoking gun for supersymmetry (SUSY) in the presence of a gauged U(1)Lμ−Lτ symmetry. A striking consequence of breaking the enhanced symmetry appearing in the limit of degenerate (s)leptons is the nondecoupling of the radiative contribution of heavy charged sleptons to the γ − Z ′ kinetic mixing. We take into account the severe constraints on gauged U(1)Lμ−Lτ models by several low-energy observables (like the muon (g − 2), data from the CCFR and BaBar collaborations, etc.) and show that any significant excess in all but the highest photon energy bin would be an undeniable signature of such heavy scalar fields in SUSY coupling to the Z′ gauge boson. The number of signal events depends crucially on the logarithm of the ratio of stau to smuon mass in the presence of SUSY. In addition, the number is also inversely proportional to the e+ − e− collision energy, making a low-energy, high-luminosity collider like Belle-II an ideal testing ground for this channel. This process can probe large swathes of the slepton mass ratio vs the additional gauge coupling (gX ) parameter space. More importantly, it can explore the narrow slice of MZ′ − gX parameter space still allowed in gauged U(1)Lμ−Lτ models for superheavy sparticles.