The scientific method breaks down, when it comes to phenomena of the mind. The scientific method was designed to factor out most aspects of our inner reality. For example, subjectivity is factored out, even though this adds spice to life. The method was designed so the only things investigated will need to come into the brain, via the senses. Things that start from the inside, are treated differently and not as hard science.
For example, if I had a hallucination of a pink elephant, which nobody else can see, this mind generated data point exists, but only through my mind. It is real data point, in terms of a neural ionic chemical effect; hallucination, but this unique hallucination data point is not something you can easily investigate from the outside. I can never prove what I saw, nor can I reproduce this in another mind, or on a computer screen in the lab. It may never happen this way again. The scientific method hits a sensory wall, and cannot fully address such data and calls any attempt, soft science. Soft science never has the same weight, as hard science, due to the lack of reproducible sensory data.
These inner reality types of data, are part of the last frontier of science. What was left out the scientific method, is being saved for last. First outside or sensory based reality needs to established, before inner reality will be fully approached, because one will need a good anchor and foundation within tangible reality, because inner storms of the mind may appear and one needs a strong and secure mooring. This is why these things are taboo in science, with the feigned laugher more for self assurance.
If experiences of God, were to come from inside the brain, and even appear as a self generated hallucination, so God can also appear to be outside, science is not yet ready to alter the scientific method to accommodate such data. The person who bears witness, sees what they see. They have a secret stash of data they try to share or are afraid to share less they be isolated by the taboo.
If you look at dreams, this is a very common spontaneous information output, from the human brain. But for the most part, it is considered a joke by most of science, on par with horoscopes, simply because the method can't go there, 100%. The brain generating a dream, is not much different from a plant generating a range of chemicals. Both are forms of information; chemical versus ionic/binary information. The difference is the chemical information is fixed outside and can be seen from the outside via the senses. Since we all have dreams and most people have been witness to this unique data that is unscientific, many will discuss it, to show each other, how science is being blind, to internal data. The same is true of a special output data called divine; inner voice.