Do what you want, my brother, master craftsman painter, clearly says, floorboards and FHZ are energy waste to the third power.
Sure, the same efficiency as glued tiles will not be allowed by a 20mm solid wood floor with the FHZ. But glued parquet doesn't either. Due to the material.
"To the third power" sounds like there are several orders of magnitude between them. I can't see that in the most recently surfaced construction. If it is well done, the biggest loss is due to the material (wood is simply not such a good heat conductor). Whether glued or not doesn't change that at first.
I don't see where the energy waste is supposed to come from. The challenge is purely of a craftsmanship nature: the insulation surrounding the heating pipes must be done well and the contact from below to the floorboards (or heat-conducting plates) must be consistently tight.
But then it works, why shouldn't it?
I can't think of any physical reason. If master craftsmen do not do it masterfully enough and the loss lies in that, poor thermodynamics can't be blamed...