This is called compassion/reverence, not spirituality.
I believe spirituality is either something you get or you don't. It's a blessed state that comes about through some sort of A-Ha moment. It's a connection to one's self, in that you understand that you don't actually know yourself or anything at all. The spiritual person is one who always questions other's beliefs as well as their own. The spiritual strive to attain understanding in meaning while at the same time recognize the lack of meaning in understanding. The spiritual person is one who exemplifies moderation and one who holds off on pleasure for eventual greater gain. The spiritual person is not caught up or self absorbed in worldly achievements like wealth, status and power, but rather uses his life wisely to satisfy his deepest purpose. Aristotle called this purpose one's Telos. Spirituality is the root of religion, and is the tool religion uses to congregate the mainstream audiences. The spiritualist lives a much harder life than the religious because he is burdened with the challenging obstruction of seeking out his own purpose, the process of which is his purpose. The spiritualist is not just given the answer, but eventually comes to its conclusion by bringing out the answer that lies innately within. The spiritualist goes where all others either fear or are too lazy to follow. Spirituality is about going out in search of yourself because you have the revelation you haven't even met yourself yet.
"What a man desires to know is that [the external world], but his means of knowing is this [himself]. How can he know that? Only by this." --School of Chi
"The unexamined life is not worth living." --Socrotes (meaning you don't know what you're made of until you've been tested)