the only way to save money/fuel with a central heating system is for the boiler to be off and that is what a room thermostat is trying to do.
you also have to insulate the house so that the heating is off.
leaving a heating system on 24 hours a day only works efficiently with a condensing boiler and really good insulation or with an air source heat pump or a ground source heat pump however regarding the condensing boiler for it to condense all of the time it’s on the boiler thermostat has to be set to 54 degrees c which is the dew point of natural gas however for most people that means that you will only be raising the ambient air temp in the house by about one degree with the surface temperatures of the rads cool and for most people that set up isn’t acceptable cause they associate warm temperatures like 70 degrees with their holidays and as a result want to cut about their house in the winter like they do in the middle of a Spanish summer.