Yes, Lovecraft's works are fiction. They feature strange creatures, otherworldly settings, and concepts that exist only in the realm of imagination. His writing style and themes are characteristic of fictional storytelling.
It captures the essence through the use of his signature creatures. The eldritch horrors are a big part of Lovecraft's work, and the game brings them to life.
White Tea's cat manga doesn't have a specific name because it can be a mix of any cat manga you like. It may include cats of other animals such as dogs and mice. It could also be a pure cat story without any other animals. Therefore, the cat manga drawn by White Tea did not have a specific name. You could give it a name yourself or think that it did not have any special meaning.