Richard Clark wrote:
"If it delivers no energy, "it" still exists, but so does some other
"it" exist with an equal counter impulse."

We can have an incident and reflected wave or an incident and reflected
impulse. The reflection is not contemporaneous with the incident in
their generation. The reflection was generated earlier and is on its way
back. Power generation remains constant regardless of wave interference,
at least until the reflection arrives at a point where it interferes
with generation.

Complete cancellation leaves zero energy on the path of the cancelled
wave. "It" isn`t "two opposite somethimgs". "It" is zero. Energy
cancellation on one path redistributes the energy on other paths or
directions.

Power is energy generated at some rate. A fixed rate means that after
total cancellation, redistrubited energy is the total, and cancelled
energy is zero. You can`t have your cake and eat it too (to coin an
expression).

Best regards, Richard Harrison, KB5WZI