I used to believe that heating constantly is just as expensive if not cheaper, if you had it on timed, but clearly, you got to do your own testing, or experimenting, its pointless discussing as each house has millions of different variables, or circumstences,
You could turn your boiler on full, (full heat) and allow the room thermostate to control and mainatain a steady temeperature, or there is the other option too, where you allow the boiler to run continuously irrespective of the room temeperature, but at a very reduced heat output, or in otherwords at a very low flow temeperature, so low that if you set your room thermostate to say 20 degrees it will never heat that far!
If you set the flow temeperature to its lowest on your boiler, mine can happily run at 35 degrees C flow, all day along, just the boiler's own thermister regulates the flow temeperature, so it is constantly cycling On/Off possibly 2 to 3 minutes On an then may be 5 to 8 minutes off, thats my rough guess as I hear the boiler go boom every 10 or so minutes interval! I haven't actually timed this accurately, but then again it is pointless because other variables will alter that timing.
With the flow temeperature set to lowest, the boiler when it sees the return flow has cooled down a degree below the setting, it refires the burner, so a steady 35 degrees flow temeperature is maintained on all my rads, this provides a steady background heat, which obviously will radiate only a small amount of heat into the room, and the room stays warm throughout, around 18 ish degrees.
But the draw back is that when it gets really cold outside, the differential temeprature increases, so does the losses, they become higher, the room temeprature starts to fall to around 17 degrees or even less, depending on how far cold is out there, so you start to feel the chill, because even at 35C flow temeperature the radiators cannot radiate enough heat to over come higher of heat as the outside temeperatures plumpt down, so you are forced to turn up the boiler's heat control, increase the flow temeperature from its setting 1 to say 3, in order to maintain the room temerature to around 18c.
This new setting at 3, now raises the flow temperature from 35 to about 50 celcius, and the radiators are now radiating more heat to componsate for higher loss of heat from the rooms due to exceptionally cold weather outside. you are using more gas now of course!
When it snowed in the begining of January, and we had temperatures around 0 degrees, or even at some stage -3 in London, I had to up the setting to even 5, or around 60 degrees flow for about a weeek!
it is back obviously down to 1 now, and i have just worked out my bill through the meter readings taken today and the one that was taken on the 10th of January, I worked out it will cost me £80 more this quarter sadly!
However, in my view it is or was well worth paying the extra to feel the warm house throughout the day and night,
You wouldn't get anything for nothing, so if you love a warm house 24/7, then you must be prepared to pay a little extra!
Choice is yours, really, you all know the more you will use the more you will have to pay, or else everyone would have turned up their heating on constant24/7.
But for me the £80 extra only works just under a £1 per day for the priveledge of having 24/7 heating, if one can affoard it then go for it, but it is not like you would pay a huge amount over the normal bills, my last quarter bill was actually £333.00 and this quarter I am going to be expecting around £400.00 unfortunately, but this will be it, winter is almost gone now, summer is around the corner and I can't wait for it!
My wife is a good waster of hot water, thats where most of our gas goes down the drain pipe, I have seen her open taps full just to wash a cup of tea and she will take like a good minute to do that!
but not only that, water itself is a very precious resource, and it should be respected and conserved, i hate to see people wasting drinking water, washing their cars, watering their lawns like there is no end to it, we are on a hose pipe ban in south east!
we need to change habbits and also I would like to work on a way of extracting that heat from that wasted bath and kitchen sink water, reclaim that heat through heat exchanger and feed it back into the house.