That's just regular fear and anxiety. We know what's happening and why. We understand that in theory it can be stopped and with the power of friendship we can change our outcome.
Cosmos horror is something happening beyond our understanding. Beyond our ability to understand. Like the ant that has a flash of human sentience and experience, seeing the world change due to their decisions and our existence utterly meaningless to them - only to lose that capability but not the memory of what they witnessed. To the ant they saw the answers to so many questions but those answers created more questions and now they will never have closure or understanding.
They will never again be able to know. They are instead cursed with the knowledge that there are bigger things out there and they can change the world without caring about ants at all. The world outside them moves on uncaring. And at any moment it can change and no one would be able to do a thing.