Hinko:
Show me data that proves your theory. In the absence of better data from you I am unlikely to change my conclusion.
1) It's not my theory. It's school level physics using principles that have been firmly established with evidence for 100s of years. Here's a good starting point.
2) None of your graphs plot power anywhere on them. They plot energy used.
3) If you really want to measure and compare different days with ripple on or off then you will also need the following at a minimum: Input water temp, output water temp, ambient air temp around the cylinder, exact volume of water used (all for each day) and a far far more precise way of isolating the electrical energy used by just the hot water cylinder, not the entire house.