Towel radiator with underfloor heating - does it get warm?

I still know it as always one being offered because a higher room temperature must be achieved in bathrooms. I believe 24 degrees, other rooms were, I think, 21 degrees. If you now have too large a distance between the heating loops (15-20cm, for example), then the heating capacity in the bathroom can already be too low.

I question the "scheme" of .
I claim:

- The water heating coil for the controlled residential ventilation is not really necessary, significantly less effective than underfloor heating and has additional investment costs that do not pay off.
- If I understood correctly, there is indeed a mixing valve, but the water from the underfloor heating still mixes with that of the radiator in the end, which is not so good because radiators cause dirt.
- Even though it’s not as dramatic with gas as with a heat pump, 45 degrees supply temperature is unnecessary, especially since the underfloor heating does not need it in a house built to today’s energy saving regulation standard. They are therefore only maintained because of the towel radiator.

If someone is afraid that the bathroom won’t get warm enough, they should simply design it properly. And if the room-specific heat load calculation shows that the bathroom does not 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 laid along the wall. In the end, it probably doesn’t cost more than the radiator plus the required mixing valve and without the mentioned disadvantages.