I have a thick concrete raft foundation with wet UFH.
I am choosing stick-down LVT for mine, atop 3mm smoothing compound. This is my preference of thermal performance, comfort, cost and aesthetics.
Plank design everywhere (with borders and thresholds; living room and corridor in running plank; bedrooms in herring bone) except for marble tile design in bathrooms with grout lines (LVT).
All to be laid professionally after painting the ceilings but before everything else (including skirtings and decorating).
Ai was very helpful for me in thinking through all the design details.