It's probably a bad idea to speak for everyone but I'll do it anyway
When people speak about spirituality they are generally speaking about connection. Whether they are speaking about connection to their idea of god, other people, the universal mind, world consciousness etc.
They ( the one seeking) are the vehicle for the connection. A "you" can't have a connection with another without a "you". The technology or methodology is different but achieves the same whether it's religion, meditation, biofeedback, yoga, martial arts etc. The "you" are seen in context, as part of the whole.
Aikido is a very direct methodology in attempting to achieve connection to another person. It is instant feed back whether it be gratifying or otherwise. You know how you are doing immediately.
You also have to be connected to yourself (body awareness, mental state, intention etc) in order to achieve a solid connection with another.
Spirituality is a loaded way of saying getting connected.