I’m trying to think of some way that that would work, millhouse. Unless the shower has a massive heatsink to stabilise temperature then I can’t think of one. Electric showers of the type we’re talking about here are really simple.
They provide X energy per second (which is the kW figure) which allows you to raise the temperature of a quanity of water by a fixed amount. If you turn the dial to hotter, you let less water flow so it gets hotter (same energy, less mass of water) or if you turn it to colder, you get more water flow so it’s less hot.
In your example, as you turn it down, the water flow will increase, reducing the temperature but that’s directly linked to the water flow, not whether you started hotter or not.