They are safe knowing they can't - as that is their purpose.

It makes sense to me.

A creator is magical thinking and is supernatural. If you give any force in the universe a personality, opinions, likes and dislikes, then you (the collective you) made it up. What is the purpose of a creator anyway? Why make people, bunnies, and eye burrowing worms? I understand biologically why those worms exist, but not if we are to accept the mind of a creator.

Depends on how you define natural. If “nature” is confined to our universe and this being existed outside of it in some external/parallel universe, then it would be “supernatural”. Alternatively you could extend your definition of nature to include its plane of existence, thus making it natural. It wouldn’t defeat the purpose of proving a superpowered overseer, though.

In a way they would. If someone where to prove there was a god, they'd quickly realize that it wasn't jealous, spiteful bigot they'd been praying to.

If someone could prove the existence of a supernatural God, then there would be an immediate rewriting of all the laws of physics, and quantum mechanics, and chemistry, because the origins of space-time etc would have been completely changed.

I am a member of the scientific tribe, but sometimes 'Murphy's Law' gets me thinking that there may be some stuff that science can't explain, especially like whenever I go to the dunny and the (landline) telephone rings, how did it know I was in there, just about to rip off the paper? Maybe someone is watching me on my mobile? or is it quantum entanglement ?

I would be suspicious that he/she/it was not just deceiving us for he/she/its own gain.

If he's supernatural he might be able to control how his existence is revealed. He could mess with your scientific experiments.