I have to admit, I dont know anything about flyback.
It's simple to understand, especially if you compare an inductor to a capacitor. An inductor stores energy in a magnetic field; the amount of energy stored is proportional to the current flowing through it. A capacitor stores energy in an electric field; the amount of energy stored is proportional to the voltage across it.
If the voltage across a capacitor is constant, no current flows; changing the voltage requires current to flow proportional to how fast the voltage changes. If the current through an inductor is constant, there is no voltage across it; changing the current requires a voltage proportional to how fast the current changes.
Shorting across a capacitor changes the voltage suddenly - the energy stored in the capacitor is released as a very large current flow. This is why you use a resistor, not a screwdriver, to discharge the power supply capacitors before you work on your amp.
Opening a switch in series with an inductor changes the current suddenly - the energy stored in the inductor is released as a very large voltage spike. This is why you don't put a switch directly in series with your choke.
This leads me to ponder... why couldn't the choke be protected with a diode to ground? It would be reverse-biased during operation; but when the standby switch is opened, causing an abrupt negative change in the current flow, it would be forward-biased by the resulting negative voltage spike to provide a path for the current to continue to flow. (I've seen protection diodes at the plates of the output tubes in a push-pull power amp that do this.)
But it's simpler just to not have a standby switch at all in a single-ended amp.....