Agreed. I have a problem with those that do that --both believers and non-believers.
Now, then, supposing something real happens to someone, that is not accessible to current scientific methods, yet experiential to that someone nonetheless. Would you say that because they are unable to even describe it well, nevermind to prove it, that it is therefore made up, imagination or delusion, or perhaps actual --real? No, I am not suggesting that such a thing should be pursued by science, but to say that such a thing is not rational seems to me a bit much. Most people I know who claim God is real to them are as rational as anyone else. They may not be entirely logical or debate ready, but rational, yes.