Towel radiator with underfloor heating - does it get warm?

I question the "scheme" from . I assert: - The water heating coil for the controlled residential ventilation is not really necessary, significantly less efficient than underfloor heating, and involves additional investment costs that do not pay off. - If I understood correctly, there is a mixing valve, but the water from the underfloor heating still mixes with the radiator water in the end, which is not so good because radiators cause dirt. - Even though with gas it’s not as dramatic as with a heat pump, 45 degrees supply temperature is unnecessary, especially since the underfloor heating does not need it in a house built according to today’s energy saving ordinance standard. They are only maintained because of the towel radiator. Anyone worried that the bathroom won’t get warm enough should simply have it properly designed. And if the room-specific heat load calculation shows that the bathroom doesn’t reach the desired temperature at the desired supply temperature, then have the pipes laid closer together and instead of the towel radiator have a few meters of pipe mounted on the wall. In the end, that probably doesn’t cost more than the radiator plus the required mixing valve and without the mentioned disadvantages.

You can forget that with a heat pump. A 3-degree temperature difference is not possible. Anyone who wants that definitely needs an electric auxiliary heater. But I also don’t understand why anyone would need such a high temperature permanently in the bathroom. We have a small electric fan heater running

- I think you misunderstood something, the controlled residential ventilation is not for heating. The registers only ensure that there is no too cold air intake, nothing more. Whether there is something more energy-efficient than that, I don't know, but I didn't want electric heating rods in the controlled residential ventilation and I already had water.
- The towel dryer does have its own circuit (e.g. with a heat exchanger), but the mixing valve at least has a magnet on it so that no metal shavings get into the underfloor heating.
- You probably misunderstood the supply temperature again. I said the gas boiler produces 45 degrees and that the underfloor heating does not run at 45 degrees. Please read carefully again.

You can forget that with a heat pump. A 3 degree temperature difference is not possible. Anyone who wants that definitely needs an electric auxiliary heater. But I also don’t understand why anyone would need such high temperatures in the bathroom permanently. We have a small electric fan heater running

Why should that not be feasible. You just need the appropriate design and the appropriate supply temperature to reach the 24°, and for the rest of the rooms you reduce the flow depending on the desired temperature. Whether that is more energy-efficient or the fan heater/hairdryer etc. is another question.