Why not ? What makes you think the soul cannot be spoken about? I am a soul typing this and I am conscious of it. Even though I do not know everything about myself(my soul), I know enough parts of it. I know the soul is self-conscious, can think, can get my body to perform actions..etc ... etc.
If a tradition delivers or attempts to deliver chitta-shuddhi by any means, rituals, or mental practice, I think of it as a spiritual tradition.