What are you waffling on about . Fit a room stat and have done with it .
In this house there are 16 thermostats, mother's house there were 8 thermostats, and in our old house 5 thermostats.
How and where the thermostats are fitted however is the important bit with a modulating boiler, the thermostat at the end of the radiator modulates the flow, not really sure about the inbuilt thermostats on the Myson fan assisted radiator as it does not stop the water flowing, it just turns the fan on/off.
But other than my first house with hot air central heating every house has had more that one thermostat.
I did consider the idea of a wall thermostat in every room, all in parallel and set to same temperature as the radiator mounted room thermostat, although the wall thermostat is digital (off/on) they would only all turn off when the home was warm enough to not require the boiler, it would not matter what the wind direction was or the sun being shinning or not.
So yes it would work, however it seems wrong to fit two thermostats in a room when one would do, and with a modulating boiler it would seem to make sense to use a modulating thermostat, it should reduce hysteresis.
However the normal gas boiler will not modulate to under around 8 kW so at that point it starts to cycle, and will never fully switch off, there is clearly a point where it is no longer required, in fact where your trying to cool the house rather than heat it, what would seem to make sense would be for when the space of the mark/space ratio hits a pre-set valve for the boiler to turn off, and then for a thermostat to turn it back on once the house has dropped to a pre-set valve.
In that way the boiler does not turn off until fully modulated, so assuming boiler is correctly designed, the boiler will already be running cool so very little heat is lost out of the flue.
I am sure a single wall thermostat in a lower floor room, which is normally kept cool, has no outside door, or alternative form of heating, with no build in anti-hysteresis software could switch the boiler off when no longer required and on when required again. However that room needs to exist in the first place.
So the house where I was trying to make it all work, downstairs there were 6 areas.
1) Under stairs, it was not heated so that reduces it to 4.
2) Kitchen has alternative heating, so that reduces it to 3.
3) Living room has a bay window which catches the sun, in the morning the temperature can get high from just the sun, so now down to 2.
4) Best room also has a bay window which catches evening sun, so again not suitable, so just one left.
5) The hall has an outside door, as a result it has a large radiator to reheat the hall after the front door is opened, and the stairs have a chimney effect, it also leads on to all rooms, so leave a connecting door open and it's temperature will alter, so yet again not suitable.
6) The wetroom had underfloor heating and is a wet environment so the last room also not suitable.
So there is no single lower floor room suitable for a wall thermostat, now my own house was open plan, only down stairs door was to kitchen and that house worked A1 with a single wall thermostat between living and dinning room in the archway between the two rooms worked well. But that is maybe the point, no two houses are the same.
In some ways the question is now academic, house now sold, but new house also has doors, so like the mother's old house there is no single room that could house a single thermostat to control whole house. I have however a hall where the so called front door is not used, so likely the hall will work with a single thermostat linked to the other two rooms leading off the hall, but as with mothers house no room is really suitable.
Hall, Kitchen, and living room all have outside doors, the utility room and under stairs have no radiators, and toilet/shower room not really suitable as has an extractor fan.