Tom, K7ITM wrote:
"Given any volume, say a volume containing a Texas Bugcatcher coil and
the air inside and immediately around it, if you push more electrons in
than come out_for_ANY_arbitrarily_short_time_period_, you have changed
the net charge in that volume;---."

No. This is not charging a capacitor or a battery. Energy stored in an
antenna system is in constant motion. Power delivered by the transmitter
is neadly the same as that used by the load, (the antenna), plus that
consumed by losses.

Power is simply the in-phase volts times amps. It can have any impedance
which is the ratio of in-phase volts to amps. Z in the general case can
include reactance plus resistance and can give the apparent power. It is
the ratio of volts to amps without regard to phase.

The coil which has a great difference between the current at its ends
most likely simply has different impedances at its ends. The power is
nearly the same at both ends of the coil but the voltage to current
ratios are different.

Varying impredance along the RF path is a product of the interference
between the incident and reflected waves. A standing-wave antenna
typically has an open-circuit at its end or ends. The RF has no other
option but to be returned
toward the sender and make standing waves. The large number of possible
incident and reflected wave combinatioms makes it very likely that the
current at opposite ends of a coil inserted in the antenna system will
be unequal.

It`s the power in and out of a coil in an antenna system that`s likely
to be nearly equal at both ends.

Best regards, Richard Harrison, KB5WZI