There's a substantial difference. Non-supernatural explanations, regardless of the intelligence of the actor being explained, are potentially the job of science. Supernatural explanations are not.
Since you've failed to provide a workable definition of "supernatural" other than, outside the realm of science, you're merely making a circular argument.
The fact is, anything that exists, in reality, and has an observable effect on the real world, can properly be the subject of a scientific theoretical model. Whatever label you put on it doesn't change that fact.