Only an instrument that measures what is happening to the weights themselves can measure the work involved and the forces involved. The EMG doesn't do this so it is not contradicting the Physics.
You are clearly not "trying to learn". Not even one small step at a time. Because you disregard every basic part of theory, preferring the 'but surely' argument and 'it stands to reason'.
You dismissed my analogy concerning a mathematician by quoting an example where the Mathematician was not right and had no proper reasoning behind his result. But you argue against the RMS thing and that is totally Maths.