The recirced water has to be reheated to prevent cold "flashes" at the outlets. So the electric heater should be of proper capacity to be able to handle all volume of cold water initially in the pipes. We have a large water storage tank that accepts recirc water, so it's not an issue, otherwise it is similar to method 3, except it uses solar instead of electric. I use temperature sensor at the end of the hot water pipe, the pump will shut off when a set temperature is reached. It is glued to the pipe, but if I did it over again, I would install an in-line sensor. We control the pump both via HA and from buttons at each water outlet, so the run time will be different depending on the location of the outlet, and the water does not always have to reach the end point. Most of the time the pump is not running, and this saves resources. You could also use motion sensors near the fixtures to automate the pump.