I think this statement is flawed. We can also think or imagine aliens, but that does not mean they are. As time goes on people think about alot of concepts, but it doesnt make them true.
1.What you are describing is the capability of a person to think beyond the natural environment. If one can swing a bat, it doesn’t make any difference if one hits a baseball or a watermelon, the first important thing is that the person has the capability to swing a bat.
2.The second important thing is that the person, with the capability to swing a bat, also knows the difference between a baseball and a watermelon and therefore can choose to swing at either or not swing.
3.The third important thing is that the person, with the capability to swing a bat, with the ability to choose to swing or not, also knows that a baseball belongs in a game and that the watermelon belongs on a plate ready to be eaten.
4.The fourth important thing is that the person described above also knows that the baseball is not intended as nourishment and hopefully she or he will seek more appropriate food than a watermelon.
The absolute proof that God exists needs to come from within the person who is looking for proof of God. The criteria is not the perfection of the proof; the criteria is that the proof works for that individual. The four points presented above could serve as a prime analogy to help someone reason to the existence of God.
I realize that I am answering post 7 and thus there are a lot of posts I haven’t read. However, point 1 has been rolling between my ears as an answer to the imagination of aliens and pink unicorns which can be a flaw when it comes to imagining or thinking about God.
I have no clue if any of the four points will really work because I am depending on the other person to spot what may be analogous in his or her search for a proof for God’s existence which is similar to the prime analogy above.