I would disagree with most of that. If god is real, the fact ought to be demonstrable, and the subjectivity is what makes existence claims suspect. Anybody who's looked hard, as I have, at the ways people have of fooling themselves into believing things they want to be true, of misperceiving, misremembering, misinterpreting, misunderstanding, will understand that a subjective impression or interpretation of feelings or events is highly likely to be wrong. We have serious cognitive and perceptual biases that are well enough known to science to have been named and defined, like confirmation bias, communal reinforcement, hindsight bias, apophenia, pareidolia, selection bias...ach, the list is endless. Critical thinking and the methods of science are the only reliable means we've ever discovered for testing the truth content of claims, and any claim that fails those methods deserves to be rejected.The only problem with that is that it is not something that anybody can prove to another. It is a personal experience that has nothing to do with what others believe or experience. It is a very subjective thing, not objective. That is why science can never prove or disprove. Of course, some people will believe anything and some will believe nothing without proof.
That I agree with, most theists would not. They'd argue strongly, as have several people here, that what you believe or don't believe will have permanent, long-term consequences. Like eternal salvation or damnation.In the end, if god exists I doubt very much it cares what you believe or don't.