I think that it happens to you the other way round, to reject reasonable insights, because in your mind the interpretation is to the disadvantage of spirituality and therefore, when you have to deal with a believer or spiritually oriented person who is not practised in reflecting your vocabulary and your habits of thought, it comes to communicative mismatches.
In these cases, the verbal exchange of arguments is not only counterproductive, but also promotes conflict and can even be harmful.
That which is "reasonable" in the eyes of the spiritual is his space of experience. If you have not yet entered this space or if you have not had this experience or if you had it but have not been aware of it in a way that is meaningful for you, his "reason" cannot reach you.
I would first ask you what exactly you understand by spirituality. I think many people only have something abstract in mind, nothing concrete, which they encounter as actual experience with regular frequency, the less they find themselves in practical spiritual scenarios.
Let's get concrete. When you are in a church filled with practised singers who use their voices skillfully, find a common rhythm, that is, are tuned to a common frequency, what do you feel?
When you watch drummers and dancers performing a ritual that has a spiritual background, how does it move you?
When you hear music and a thousand other people with you, do you see it as a spiritual experience? When you witness a mother using her voice to sing her child to sleep and she is very good at it, is that spiritual?
Where prayer, dance and song become one, where the participants create a certain vibration, would you see such as spiritual? And if so, what do you think causes these frequencies, which can also be measured if you want? What other than prayer, song, chanting, music can be meaningful?
but there is little empirical evidence I could point to in support of such belief. Because of the limitations on scientific evidence, spiritual beliefs are difficult to rectify with supporting evidence that reasonable people can agree on, and such disagreements as arise from that circumstance are all too common and prevent agreements on matters that can be supported by evidence.
But there is. It's hard to find, yes, but not impossible. If you are really really interested in those evidence based research, you would be the one looking for it, right?
I think that people who say they are guided by facts and reason would have to give a little more credit to those who also have this reason and would very much like to provide the much demanded facts if they were ...
a.) ... taken seriously
b.) ... financed
c.) ... disseminated and supported to distribute their research results.
It may seem like wasting time with people because you don't speak a common language, but the accusation can go both ways.
Here is a link to the subject matter that I consider "spiritual" and yet can also be viewed through the eyes of science and reason:
RE: Asgard and Archaea