I decided to go with AXA insurance. It costs 28.5k and appears to be more or less the same as others (tipinsure, tune) at a lower price (yes, if you come from a "proper" country, tipinsure is cheaper, not my case).
Both Tune and AXA have it in their FAQ that asymptomatic cases are covered but I couldn't find it in the policy wording so... Can't be sure about that.
What's different though is that AXA doesn't offer a refund if your CoE is rejected while Tune does. AXA offers a refund only if your visa is rejected.