The failure was not the use of an analogy, but the failure to get the point of the analogy. Such is the determination of some to dismiss God and experiences of God.
The insistence of "proof" makes no sense to me, especially from those who claim to be of a scientific mind. First, "proof" requires physical evidence from non-physical beings. Further those of a scientific mind seem to have no recollection of Einstein stating that everything is energy, which means reality isn't real. Einstein noted that reality is merely an illusion, albeit a quite persistent one.
God, on the other hand, is energy and atheists of a scientific mind arguing that God is an illusion is beyond ironic. Their argument should be, God is real, and since reality is an illusion, it follows God is an illusion, the same as we are--if we are in fact "real".
While I am familiar with bits and pieces of science, I am merely an interested onlooker, not an expert. Ding most likely understands Einstein's comment better than I. Hence, I settled for an analogy. With a little thought, anyone could catch the drift of what I was saying. They might not agree with it, but they would understand the point.