Is 2-layer parquet an alternative to 3-layer parquet with underfloor heating and bonding?

Do I even reach the same temperature on the parquet surface as on the screed (29°C)?

I just measured. Room temperature is currently 21.7 degrees, parquet surface 22 degrees, heating flow 21 degrees (residual heat, since it is about 7 degrees outside, warm enough that the heat pump has not been heating since around 5:30 p.m.).
With heating costs of €375 p.a. for 120 sqm, it doesn't matter at all whether you consume 2% more or less. That's what I mean by "doesn't matter," whichever wood you choose.