I do reach down and turn radiators on, the electronic TRV head
has two buttons and a dial, it has a schedule set for when I would normally used the room, and also the comfort and eco is set, so if I use a room early press one button right hand side of dial and it moves from eco to comfort, the head cost £15, try finding a programmable thermostat for that price?
The problem with any house is internal doors and walls are not well insulated, having a room with no heating does not allow it to cool that much, as it is heated from other rooms, and also you don't want cold drafts every time you leave a door open, in the main electric heating is not central heating, there is no central boiler distributing heat to different areas of the house, go into any house with storage radiators and you realise the problems with electric heating.
The total wattage of radiators in this house is about 6kwh
You seem to have power and energy mixed up, power is measured in watts or kilowatts, energy is measured in Joules, kilojoules, watt/hour or kilowatt/hour there are 360 Joules in a watt/hour. Why we use watt/hour not a clue, very confusing as there is not time involved watt is measured in energy per second and as the name implies watt/hour is using the hour which has 360 seconds in it so that is why there are 360 Joules on a watt/hour.
Most radiators are under 3 kW so do end up larger, but most gas boilers will modulate to around 10 kW so they are in a way too big to run just a couple of radiators without cycling, and every time the boiler turns off heat is lost through the flue as it cools, to reduce that loss we want the boiler to run cool, but if it runs cool then there is a problem heating the rooms, when many are turned off, so it becomes important which room is selected as the room with the wall thermostat, and it is better if that thermostat is a modulating type. So the whole control of central heating can become complex, and I will admit in most houses it is near enough rather than perfect.
To have a room with say 10
infrared heaters with a system which selects how many run to control the feel of the room so it is comfortable may I agree used less energy, however one the energy costs more, and two you need to develop a system to give that control, only way I can see to do that is rather a complex computerised system which uses outside and inside temperatures to control the amount of heaters, and I have seen the problems involved with stage heating with fan assisted radiators, if you have 5 stages of heating then you need 5 trigger temperatures and most thermostats have 5°C increments so if slowest speed is 20.5°C then fastest speed is 18°C which will work to heat the room fast, but not to maintain the room.
I am sure there is a way to use a thermostat to gradually increase or decrease the number of heaters switched on, but the cost per room will be huge compared with the simple programmable TRV head.