No, Cecil, I did not try to change the meaning by trimming. I was
simply pointing out a basic flaw in your whole development. You use
the differing phase to establish that a travelling wave in each
direction results in a difference in the standing wave current at each
end, but then you try to use amplitude only to show no net current into
the coil. Now use the SAME phase difference you used to develop the
standing wave, and use it to determine the net AC current into the
coil, AT SOME PHASE. Now use the same phase difference in the other
direction to see that it also results in a net AC current AT SOME
PHASE. AND for the case where there is a standing-wave current
difference between the two ends of the coil, the net coil current is
EXACTLY as predicted by the vector sum of the two travelling wave net
currents.

Now you decide. Can I do phasor math? Do you need a specific example
with numbers, or can YOU work that out yourself? Suggest you use the
example from your previous posting. If that causes any difficulty, try
it with 180 degrees phase shift through the component. I've done it,
and it keeps giving me precisely the same answer as a full cycle of
instantaneous currents.