I know that, and agree to the idea that there might be/ sometimes are EM precursors to earthquakes.
I also know about piezoelectric effects and experiments for example the russians did using huge amount of electrical energy to trigger (small) earthquakes.
Still, a mechanical wave (like in an earthquake) is a mechanical wave and it shatters houses – totally different in it's effects and characteristics from an EM wave.
As matter of fact, you dodged the question, as fluids cannot be sheared, and thus there can't be s-waves observed that have travelled through Earth's outer core.
But it's alright … not doubting you or your ideas, just asking to keep it real when it comes to simple physics.
There's lots of reasons (pressure gradient, rotational moment, mass considerations, material properties and others) to assume that it's hot in there. But none that I know of, to assume the opposite.