The difference is that asteroseismology (which comes from hydrodynamics) predicts that the oscillation frequencies of stars are determined by several factors in

The difference is that asteroseismology (which comes from hydrodynamics) predicts that the oscillation frequencies of stars are determined by several factors intrinsic to the star. We therefore don't expect many different kinds of stars to have similar oscillation frequencies (though the oscillations themselves may have similarities such as the scaling relation for solar-like oscillators). I don't know much about the actual physics behind supernovae but I'm fairly sure that the maths makes the power predictions that we observe.