This is a misunderstanding.
The way you get the double of voltage if when a real capacitor fully charges to voltage supplied and there will be no current flow anymore, so the inductor collapses producing the pulse BUT THE POWER SUPPLY IS STILL CONNECTED, and since that, it charges to Vsupplied + inductor pulse in series.
In a pulsed system as Meyer with non-ideal "capacitor" there will be a second pulse and not the voltage doubling effect.