I think you are being too charitable. I reckon the creators of these devices know exactly how useless the products are.The only way to save energy is to use electrical loads for a shorter duration, apart from that just avoid the scams. There might be some confusion among these device creators in that with large consumers on three phase then capacitors on the supply can help any phase inbalance with voltage and current that offsets the reactive power used by large inductive loads such as motors.
Revisit by Clive
Same result but more detail.
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