I agree. And no harm in sharing all the quant stuff alongside the description. What's hard is understanding/communicating the physical thing happening in all the detail if you never verbalize it.
The idea that energy has to go somewhere, come from somewhere, is very compelling. Redistribution rather than destruction.
I'll just repeat what the peeps have been saying....in a slightly different way.
Energy must be conserved, yes. But in the case of passive filters their impedance goes high during the transition to the stop-band. Thus, the power amplifier does not supply any energy into the system in that instance. Thus, no dissipation.
A simple example:
If you put a 10 ohm 1 watt resistor on your power amplifier output, it would get warm.
If you put a 1000 ohm 1 watt resistor on your power amplifier output, it would not.
Power amplifiers are very close to what's called a "voltage-source." It will supply the voltage to a load......but only supplies current relative to the resistance/impedance load.