I believe that I have shown. that truth does [not] change because it cannot be proven. It continues to exist as truth believe it or not and free from any evidence.
[Not] added by me as I think that's what you meant to say?
I have not disagreed with the premise that truth is true regardless of our observations, opinions and emotions.
However, what good is a truth that cannot be observed? That truth might just as well not exist, or not be true at all.
A truth that cannot be discovered, proven or even observed is, for all intents and purposes, not true.
How do we verify the correctness of something claimed as truth?
With regards to the existence of gods, many truths have been and are claimed to exist. These claimed truths contradict each other, and obviously they can't all be true.
As long as nobody presents any decent evidence that their claim to know the truth about he existence of gods is actually true, it might just as well not be true.