Ah, then you don't have a description of a real God, which is the point I was making.
My view is that things can be real ─ have objective existence, be found in nature &c ─ or purely conceptual / imaginary.
I'll jump in here simply because we haven't had a discussion in a long while. How are you doing?
The highest mystical realizations occur when all conceptions of God are gotten rid of, which means any definitions our minds try to create to make God an object for observation. To define God, becomes then looking at an image of the mind, our "imagination" as you rightly put it.
So the goal is to open the mind, to move beyond imagining, not to close the mind around God, reducing it to an object, like a dog, or a cat, or even something more mysterious like a bigfoot, or a loch ness monster.
There's no third choice because there's no test that can distinguish the spiritual, supernatural, immaterial or divine from the imaginary. They too have no description appropriate to anything real.
Descriptions of experience are pointers to something real, even if it that something real is immaterial, like love, hope, joy, peace, or God. "God" as a word by its usage in language is meant to point to something
transcendent; not something tangible like a rock or a tree. It describes something
ineffable, which is a perception and experience of reality that goes beyond words and language.
To say God can't be proved by scientific testing is absolutely correct. It also is consistent with the claim that God is transcendent. One should wholly expect such an attempt to fail, the same way you'd expect trying scoop up water with a fork would fail.