If one assumes (probably fairly modestly, 12 hours per day for 6 months of the year,
12 hours a day for 6 months of the year is an interesting assumption to make
Possibly off topic, but these are some of my thoughts.
There are so many factors at play.
My house is basically a two up, two down, with an 'extension' at the rear, containing the kitchen and bathroom. A very typical victorian terrace house in our area. (Completely off-topic, but if you've ever watched "Gavin and Stacey", ours would be Stacey's mum's house!).
Both of these rooms are small and don't require much heating.
The living room and dining room are open plan to the stairs.
The radiators in our bedrooms are set low.
Whereas Eric has been known to go on about smart TRVs and there being no necessity for room thermostats - in our case, a single room thermostat will suffice; if the downstairs living room is at a comfortable temperature, the rest of the house is too.
We are also a relatively young and active family; we are comfortable with a thermostat temperature set to 18.5C.
Sometimes we bump it up, and the night set back temperature is 17C.
Rather than setting a schedule, keeping the house at a fairly constant temperature seems to work for us.
I presume that the catch/flaw in attempting such calculations is that, whilst the heating may be 'on' for 12 hours per day, the rads will not be producing their full theoretical heat output for anything like that long
Getting back to the 12 hours per day -
We didn't start heating the house until late October, that was the first time that the temperature dipped below 18C (apart from the perfectly insulated party walls, the rear wall is south facing and gets an appreciable amount of solar gain).
Here is our gas usage, according to OVO (and I'm excluding 100kWh/month as the average standing amount of gas used for water heating and cooking - probably an underestimate)...
The Nest thermostat doesn't give the best information, but it does give a record of the amount of time it is calling for heat; here is last week's "Energy History"...
Even this isn't the full picture.
Nest may be calling for heat, but it doesn't mean the boiler is constantly firing; if the boiler return temperature was above the boiler thermostat setting, the pump would continue to run without the boiler firing.
Our boiler is also a non-condensing boiler. I don't have to worry about trying to optimise the boiler return temperature
so maybe very modest 'heating requirements are to be expected?
Yes, the heating requirements may be modest.
But what I have learnt from past experience (dealing with estates departments, office workers and classes of students) - comfortable temperatures are subjective; calculations can be attempted, but there won't be a universal solution.