I asked if there's any evidence AGAINST the existence of a supernatural creature.
If I'm reading you right you want to see if there is any physical evidence of the lack of existence of an entity which can hypothetically have no interaction with the physical world?
What kind of evidence would something that doesn't exist and doesn't interact with the physical world leave?
If something doesn't exist but is hypothesized to exist and interact in the natural world we can try and look for evidence of that interaction. Let us say a new force is disovered: The Wedge Antilles force. This rare force causes Yavin particle/anti-particle pairs to spring into existence and destroy stars. A very real star destroyer, that which causes death to stars. Indeed the Wedge Antilles force can be responsible for the creation Yavin systems which has a star which is one of these star destroyers, nicknamed a death star.
This specifics of the force mean it can be viewed acting near large gravitational bodies through a yellowed piece of specially polymeraized material. We make the material, we look through it at jupiter/the sun and do not see the force. The force, not being with us, is not detected and so there is evidence that something that doesn't exist, doesn't exist.
We can do this because it is proposed to interact with the natural world.
However, an entity that does not interact in the natural world neither leaves evidence for its existence nor is there an absense of evidence that should be there.
Of course, a supernatural entity that does interact with the physical world from time to time, may leave evidence of its passing. No concrete evidence of such an entity has yet been found. As such there is evidence that no such entity exists, but it can never be conclusive.
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