My 3.5 kW radiator had no TRV or lock shield valve, just two isolation valves, it use 12 mm pipes and worked A1 but the instructions I think said 15 mm pipes, and output was controlled by the speed of the fan and turning the fan on/off. A very small physical size radiator but high output.
But this was before the condensing or modulating boiler, the return water when fan was not running was nearly as hot as the feed.
In my mothers house I had a problem both over and under heating, my setting of the lock shield valve with having no differential thermometer was to turn the lock shield off, then ¼ turn at a time until feed pipe just a little warm. This seemed to improve things, but the major problem was the bay window, when the sun hit the window the temperature of the room would sore. So I got first a pair, and then some more electronic TRV heads, it was actually not the speed that helped but the fact on the PC I got a report current and target.
this allowed me to see at a glance which radiators were allowing too much flow, and those with too little, clearly if the current exceeded the target then the lock shield needed closing, and this was the case with most of the radiators.
And TRV be it electronic or mechanical takes time to open and close, typically the electronic when they exercise mid day Saturday every week take around 3.5 minutes to fully open, fully close, and return to setting, so a radiator should take at least 15 minutes to warm up, likely longer, to give the TRV's time to adjust. And all mine were open too wide, and as I adjusted them I found the TRV's were spot on, set to 20ºC I actually got 20ºC, the problem before was the TRV was marked *123456 which is a little useless when trying to set two things, once the lock shield was set the old mechanical worked well, but it was the setting of two devices which caused the problem.
The second problem was the wall thermostat, never really understood why it is there with a modern modulating boiler, I suppose to stop cycling, but if it turns off then no heat to any room, so the instructions say fit it in a room normally kept cool, on the lower floor, with no outside doors, and no alternative heating, well in the main the room does not exist, so you need to have a TRV's either linked to the wall thermostat, or a TRV in the same room set to turn off heating before the wall thermostat set temperature, unless it's a warm day.
This is not as easy as it seems, on a warm day the TRV and wall thermostat show the same temperature but on a cold day, with the wall thermostat being set higher on the wall to what a TRV is, it will show up to 2ºC higher than the TRV in my house, I think main problem is also TRV nearer to door and wall thermostat nearer centre of house, but as soon as the wall thermostat turns off the whole system of TRV and by pass valve clearly stops working.
We realised in my house the patio door in dining room was causing much of the problem, it cooled the wall between in and the hall, so cooling the wall where the TRV on hall radiator is. We have all these clever ideas of heating rooms only when required using programmable TRV's but our internal walls ceilings and floors are not well insulated, so heat transfers room to room idea of turning a room fully off does not really work.
However a sequence of heating does work, so when heating starts first the kitchen, then dinning room, then living room and finally bedroom means the kitchen heats up faster, not too much time gap or the boiler will turn off or down, but the sequence does result in faster recovery of rooms.
What I noticed once set was radiators were only just warm, the rooms were to temperature, so radiator turns down, which means by pass opens and hot water returned to boiler, and so boiler modulates, as it should, so radiators never either cold or hot, they just stay warm, reducing the hysteresis as the TRV should.
But all my lock shield valves were open too much, and only found out once I could monitor temperatures on the PC.