Proximity effects between s-wave superconducting thin films and high spin-orbit topological materials are widely studied using the differential conductance spectroscopy technique, mainly to investigate the topological property of the induced superconductivity. However, very little is probed about the influence of above proximity effect on the depairing properties of the proximitized superconducting film. Here, we provide a phenomenological simulation tool to characterize the different pair-breaking mechanisms that exist at such interfaces and show how they affect the differential tunneling conductance response in applied magnetic fields. Importantly, we probe the quasiparticle-tunneling conductance at the hybrid interface and observe conductance peak pinning at zero bias in a larger field range with eventual signs of weak peak splitting. Further, the effect of varying the spin-orbit scattering and the Landé g-factor in tuning the conductance peaks show interesting trends, such as observation of zero bias conductance peak even in a topologically-trivial superconducting state.