I think that this type of experience increases the individual or individuals’ beliefs about their religion, and in particular God, this is because after having this experience they may feel a stronger connection to God. Moreover, the sharing of the experience may be used by those who have already have a strong faith to further support their particular religion, and if the religious experience was experienced by a large number of people, this would probably add more persuasion to the (religious) claim. Ultimately, if people had evidence of their experience and no rational explanation could be put forward to oppose it, then one can say that it could be used as proof that God exists.
Although, a religious experience is beneficial to some people as proof that God exists, there are in fact numerous people who have been firmly raised with the view that logic and reason reign above all. They would only accept the claim if empirical evidence was provided by for the religious experience. But, to some people no matter how much you try to persuade them, they can always put forward the argument that there would be no empirical data to verify such a claim, and no matter how real it appeared to you, it could always be argued that it was simply your mind creating the illusion of a religious experience as a result of your subconscious mind looking for answers or a subconscious need for something more fulfilling in your life (originating from numerous factors, for example stress, financial trouble, strains in relationships and more.)
Furthermore, from a religious perspective, (some) religious believers may argue that there is no need for religious experience to prove that God exists because we should easily be able to determine that God exists. This may be because of creationism and that the natural beauty of the world is so intricately detailed, that it must indeed have a creator (God) and could not possibly have occurred by random chance. Also, people experience God in more common and simpler ways (religious experience, such as miracles are rare) for example praying, as people may feel as if they are communicating to God, and therefore feel that they have a special connection, so therefore those individuals claim that God exists.
Well, in my opinion I would like to state that an important point which must be understood is that the existence of God cannot be proved in the same way that you can prove the existence of a physical object. This is simply because God is not a physical object, (a physical object is a subject to your five senses.) And I partly agree that a religious experience is proof that God exists, but it may only be proof to a minority of people, whereas there are other methods in which people can proof the existence of God if they wish to, as I have mentioned above. But I think in most cases, religious believers do not require any evidence to believe in God, but they simply believe in God because they have strong feelings regarding God.