A
AM
With the 0.1µF caps and 1mH coil shown, we have a frequency of ~
22.5kHz and an inductive reactance of ~ 141 ohms which, for a Q of 200
which you used in another post, calls for about 0.7 ohms of resistance
in the circuit.
I included it as the series resistance of the choke and, as reported
back by LTspice, once the charged cap is connected to the LC, the
circuit starts ringing, and after about 20ms (to be generous) decays
to essentially zero.
Thus we have a decaying 20ms period populated by 46µs wide cycles, for
a total of about 435 cycles, a far cry from your claimed "millions of
cycles".
Which proves that something is lost, or the process has a cost, as each
cycle is decaying.
It requires 'work' to 'cast' the electrons 'across' the face of the
plates.
Kind of like playing "Trouble". The surface gets crowded with
electrons and a few get lost when the pressures bump around.