Going on your Slavic username: as an American who moved to a country without forced-air HVAC, it’s been quite a revelation to discover how backwards forced air really is.
But you still need to move air for cooling (as opposed to using water for heating), because you can’t cause condensation during cooling without creating damage and health risks.
Hydronic (water transport) heat is great: extremely comfortable and quiet compared to forced hot air.
For heat, radiant is nicer. But most people don't want to pay to have two completely separate climate control infrastructures in their house.