Why do you hold this opinion? Could you please explain further?
The ventilation is basically quite ineffective. There is no "drive" for horizontal air exchange.
That's exactly right. You wouldn't have air circulation in this horizontal air layer. In terms of heat transfer, this layer between the beam and the floor layer would already be "beyond" the insulation layer. Without circulation, you would have the "breeding ground" for exactly the condensation you fear.
Below the beams – that is, "in front" of the insulation layer – the slowing down of heat transfer has not yet occurred, and therefore, the temperature gradient compared to the layer directly below (= indoor air) is smaller and thus less problematic. The battens do not interfere here (they are not intended to serve an energetic purpose at this point, but rather to decouple the "movement" of the "beam" material from the drywall panels that behave in this sense stably/rigidly – the latter, in turn, is not necessary for wood on wood). However, I would have preferred tongue and groove boards.