Thanks, Amir. You're the spice-master
Power supply design is quite fascinating - backwards towards the wall - resulting in IMHO a power cord possibly making a difference to the sound quality. I'm glad that I'm not the only one on this forum that thinks this way.
Amir, if you are willing to do some modeling - use half bridge rectification on the model and you should see the "haversine spike" (I don't know what it's called) get larger.
Reduce the current load while keeping the same capacitance, and see what it does. Get down to 1 amp, and then increase capacitance. Model with ESR on the capacitors.
What would become really interesting is if spice can put a single impulse load into the model. Say a piano note and then see what the power supply does. When I get some time, I can also do the same but with an oscilloscope and match what we see with what we can model.
Unfortunately, there will still be those here who will say that we can measure it, but we won't be able to hear it..... but this being WBF, at least it won't be a waste of time