Very well, but you can't begin with the supposition of naturalism without making that choice.
Likewise, it is not unreasonable to admit supernatural causes while engaged in science.
Right, and that is just what natural-science does.
It begins with the base-assumption that science will only deal with natural explanations for natural processes.
Science leaves supernatural phenomenon & explanations to other categories of philosophy, i.e., theology.
But I must also mention, this was originally intended to be a methodological, not ontological or metaphysical assumption.
Our forefathers believed that scientists would take off their methodological smocks when they leave the lab for the night and then go home to their families where they'd thank God for dinner:
It's much more than unreasonable, it's strictly verboten -- by definition, when you admit supernatural processes or explanations, then you are no longer working in science, but in some other field, such as theology, miracles or, dare I say, magic.