Yes, if we in fact have some kind of spiritual perceptive faculty, then that's how we perceive God, and God, if She can be perceived with it, could be said to exist.
But I'm sure you're aware (or it would need a new thread) of some of the problems with that idea. When we talk about a sensory perception, we can generally agree on what we're looking at, at least to some extent. But people's "perceptions" of God don't match at all, are so wildly different that I don't think it's even in the same category as seeing or feeling. I mean, we can't all feel a rock and have 3 of us say we feel nothing, 4 say it's fuzzy, 2 say it's squishy, 1 say it feels like 2 rocks, and 1 feel a rock. That's not how sense perception works. That sounds to me a lot more like something in the brain, such as hallucination or temporal lobe stimulation, than it does like sense perception.
I think these religious experiences (which I've read a lot about, and are interesting) are better explained as brain occurrences than God sightings.
I agree that they are evidence for God, but insufficient evidence to be persuasive.
btw if everyone who had them reported anything remotely similar, the evidence would be much stronger. What seems to happen is that people have experiences, which are interpreted by them as fitting into whatever religion they were raised in.