Well, for now I'm rather satisfied in mediocre way. I've tried first mission from campaign (played by Orks, in other circumstances I would complain, but it turns out that Daemons are weaker than Orks). And one skirmish mission, this time with Chaos Demons.
I doubt that I will ever like playing with Chaos in this shape.Demons are literally mutilated by ranged weapons. Even stronger units seems to be surprisingly vulnerable.They're quite good in fighting with infantry, but vehicles (especially heavy armored) seems to be quite hard to damage properly. Pink horrors turned out to be relatively effective unit (quite strong attack from distance), but keeping them alive is quite a challenge.
Turns out that demons are total weaklings without their human followers (and their wargear)
