I can see the point being made.....but it's really just another instance of the 'supernatural' straw man that is every bit as fallacious as the supernatural itself.

By definition ( and you are the one creating that definition ) everything in nature is natural. Therefore by definition 'the supernatural' does not exist.....as existence means within nature.

However, that does not mean that anything that I then choose to place into the 'supernatural' category is non-existent. After all...it is me who places it there....not nature.

Thus, the Moon does not suddenly cease to exist if I label it supernatural. So the fact that something is labelled as 'supernatural' is actually no evidence whatever as to its actual existence......which is an entirely seperate matter and determinable by scientific investigation.