I’d be certainly willing to consider any other models you may have.

And yes, I do get to dismiss them, because this entire thread is a question of whether and what people believe, and OP asked me whether I believe in them, so I answered. I could believe in literally anything and it would fit the topic of this thread.

But to get more specific, I am a fallibilist: I believe that everything is ultimately unprovable, not just gods. The scientific method and deities are simply two models I find compelling enough to be worthy of my time and attention.

I already answered your specific question: the philosophical arguments that make consideration of deities compelling do not hold for fairies. As one of many examples, no one has ever advanced any sort of ontological argument that would hold for fairies. Without those, the claims are not at all similar, and I have found no compelling reason to contemplate the existence for unicorns or fairies.