Chai, both unconscious action, and subconscious thought, is a product of the subconscious mind...by definition.
In any event, start looking into the subject of the subconscious (by any phd's who study the field - there's plenty of books on it), and you will see that this is the case.
In many instances the words can be used interchangeably - the OP's use was one of those.
You still don't appear to have answered my question - Do you have an issue with my original reply? Or was your reply purely to say that you disagree'd with my use of the word subconscious in place of unconscious?