The advice also doesn't have to be "turn it off", just "turn it down to 5°C" which would be safe indefinitely. There has to be another reason why the advice is to keep heating 24/7.
In other words, it will automatically adjust depending on the time of day, temperature outside, etc. It is possible to influence how it works, via 'administrator' settings meant for the repair guys, but I haven't touched those.
But note that the OP has not just radiant floors, but also a heat pump (which isn’t using gas, so we’re far afield from the overall question, but setting that aside).
Heat pump systems are generally sized so that compressor’s sweet spot is pretty close to your expected normal/max output.
To be honest, this is more about the lifespan of the compressor than it is energy efficiency, but there is also a small loss of efficiency if you get the system into a state where it’s turning on/off frequently.
So it seems plausible and sensible that a radiant-heat pump system would recommend circulating 24/7 in the winter rather than cycling on/off a lot.
House is also well insulated, with heat recycling ventilation. Objective is to keep a consistent temperature.
Edit: is it more common to use forced-air heating where you live? Are buildings brick/concrete? Heating vía radiators w/ warm water and concrete buildings tend to have more inertia in my experience, the temp will not drop down that much overnight, but that's not the case in my current home.
Everytime I watched the housing offerings in Dublin I wondered how any sane being would spend upwards 1M£ for a small, moldy goat pen while parking their Porsche infront.
Older houses sometimes still can benefit from insulation improvements.
So go in this order:
1. effective insulation
2. conscientious and smart use of energy and avoidance of very inefficient heating systems. avoid heating large areas when they don't really need to be at very warm temperatures. (careful though to avoid damp cold range of temperatures where wood rot and permanent damage to homes will happen). Avoid unburnt natural gas, eg in badly maintained or cheap cooktops. The ideal household kitchen has ~ 4 gas burners, and one or two induction burners flush with the counter, eg https://www.amazon.com/Countertop-Portable-Induction-170-Min... This minimizes unlit gas for those very short heating needs in the kitchen.
3. think about upgrading to very efficient systems. These most promising could be (depending on your area and scale of heating needs):
-- electric-heat cogeneration
-- heat pumps that use the large volume of ground underneath the basement as geothermal heat-mass reservoir. Heat the ground mass during the summer to provide AC, and squirrel away the cold thermal mass during late fall and late winter+spring.