Why would it be a strange criterion? Delusional people aren't the only ones recognized as such (by whom anyway?) as everyone but the hardest of skeptics believes that their experiences are representative of the way reality is.
No, I'm applying the same way we treat our confidence in the reliability of other experiences most take for granted to the kind of religious experience
@ObjectOfMercy claims to have as no real disanalogy has been presented.
ObjectOfMercy hasn't presented his experience as a way to persuade you (or at least I haven't seen that) but to explain why he doesn't need arguments to be persuaded as his experience is enough for him to believe as he does.
Given how an outsider doesn't have access to the experience in question, they would need something more but the person experiencing would be warranted in believing as they do.
So if a Muslim comes with a claim of a religious experience of Allah as means of persuading me, I would demand more.