Ash parquet on underfloor heating? Which wood as an alternative?

Nevertheless, I don't trust myself to glue parquet. Click laminate, on the other hand, I would be more likely to do

They are both identical
With parquet, it's just that glue is applied underneath.

So the consensus would be, as long as a manufacturer approves parquet for underfloor heating, everything is fine?

If I already get approval from the manufacturer, why not use the product?

For example, in my current apartment I glued oak short planks as two-layer parquet. White oiled and UV hardened. Parquet was somewhere around €20-25/sqm. With a decent glue and a few white baseboards, everything is fine.

In the penultimate house, there was wenge parquet from Haro (about €100/sqm). It was a three-layer parquet.
Difference in the installed condition: None (apart from the wood type). The click system from Haro was better, but the price difference is already enormous.