I think a belief system is associated with spirituality. Though unexplained things can be guessed in science. It is guessed utilizing facts. I would say it is more of a prediction or forecast.
Science predicts and test.
Spirituality believes and asserts.
It seems people who believe that "science is spiritual" are people who believe in theoretical physics to the point of accepting them as absolute truths or laws. They seem to not realize the uncertainty of theory or hypothesis. They seem to not understand what science is.
Science is not spiritual. As spirituality contradicts science. I would say they are on opposite ends of the spectrum.
Links to science journals stating facts of uncertainty. We don't know if the smallest particles are magnetic or not. Because we don't have technology to prove or disprove it.
From first link:
https://www.sciencedirect.com/science/article/pii/S027311771730248X
From second link:
https://www.sciencedirect.com/topics/earth-and-planetary-sciences/dark-matter
https://www.sciencedirect.com/topics/computer-science/bosons
From fourth link:
https://www.sciencedirect.com/science/article/pii/B9780124058972000033
