Spirituality is about growth, living in integrity with your own values, learning about yourself and the world you live in, caring for others, and similar topics.
This is very much how the founder of Scouting Lord Baden-Powell thought, he said people should be spiritual and the above quote is exactly what he meant. Sadly, it got overtaken by people thinking it meant religion in particular Christianity. I think for many in martial arts it has also become to mean religion which either attracts or repels.