I appreciate you seeing my point, but I must disagree that it is "my world." This is Rossi's world and I'm just peering into it and making sense of it for you.
The wire analogy is simply one way to think of the circuit given Rossi's statement that the reactor has an effective internal resistance of zero. Would it be better for us if Rossi measured the voltage across the reactor and the resistor, and included values for the resistance of the reactor as well as the resistor itself? Yes. Did he do that for us? No. Why? He explained why.
Fair enough.
My intuition is that Rossi's device could have R~0 when operating. Which means that input power ~0 (R*I^2).
However, it must have received some energy at some point. So either R is dependent on temperature (seems likely), or the start up necessitates high Amps.
In any case, Rossi must account for energy for the whole experiment. It's possible that his COP calculation is correct and that R(reactor)=0, but that's just a measure of instant COP.
Who cares what power the resistance in the circuit receives. If what Rossi says is true, the instant COP is actually much higher as the device is receiving ~0 input power.
Perhaps his device is in SSM and the reactor is not receiving any power, but then what's the point of measuring V^2/R on some random resistance. Seems totally off topic.