“It can’t be proven or tested as false or true that God exists the same way one can test gravity and its properties... The question at best must be left open, in terms of applied method, reasoning, or analysis.”
Sorry, but I must disagree with your argument as much as that of the atheist. I reject the premise entirely.
We do not need to speculate, hypothesize, or theorize about the existence of the sun. We just need to look up. We know the sun is there through observation (though we may not touch it lest we be consumed, nor look at it directly lest we damage our eyes).
We test theories not facts. We do not test the existence of Abraham Lincoln. He is a historical figure. We do not test the existence of Congress. It is observable. Their existence is not theoretical, it is factual. It is the data. We use theories to make sense of data and then validate the theories by testing.
The idea of testing the existence of God is categorically wrong. God has been observed. For those who have first-hand experience, and have encountered God, there is no need for speculation. For those who have not, the question is more of the credibility of the witnesses.
What is interesting is God never attempts ‘to prove’ that He is. Rather states so...”I am that I am” ...the great “I Am”.
I would agree with you in part for as the scripture says...”For we know in part and we prophecy in part, we see thru a glass darkly then face face(from 1Corinthians 13).
I was speaking more to the dead end proofs the skeptics demand but even when you show them they move the goal posts. Real reason posits that that we must acknowledge God as real based on the evidences seen thru out creation; but the stubborn hearts of men still refuse to acknowledge him, inventing in their darkened imaginings more reasons to deny the things of God AS the things of God!
The Bible says it is with the heart we believe unto righteousness and with the mouth confession is made unto salvation, so even reason itself is not enough to seal the deal,,,there must be a personal encounter and submission
to Jesus Christ.