Cement or anhydrite screed in new construction with underfloor heating?

That shows again that with screed you can't choose wrongly.

You have to know how to handle cement screed, anhydrite has fewer errors. The floor installer is happy.

We have cement screed in the bathrooms and utility room (less sensitive to moisture) and everywhere else anhydrite (but no liquid one).

With cement screed, you apparently also need more expansion joints, which is why it wouldn't have been so nice, for example, in the living room. Otherwise, I have no knowledge of the subject and simply left the decision to the experts / the construction company.

So in the shared YouTube video, the cement screed seems to be better, but general information says it is the anhydrite. I am aware of the inertia with underfloor heating and will therefore try to adjust it through the self-regulating effect so that the air heat pump does not switch on and off 30 times a day. Does anyone know if the anhydrite screed can also lift like it sometimes happens with cement screed? I think this is called cupping... when the screed rises at the edges during the drying process, like a slice of bread drying out.