What percentage of beliefs accessed readily by the conscious awareness are coming from the cellular consciousness of the mind, or retrieved by the upper subconscious from long-term memory, or relayed somehow indirectly from the deep subconscious if that can happen, or just guesswork of the intellect?

You can rule out the two latter possibilities from consideration because the deep subconscious cannot communicate with the upper levels of the mind and so will not offer beliefs directly to conscious awareness. If queries about beliefs are done during the normal ordinary HMR process, the mind will be in a meditative state at least and the conscious mind will be quieted to some extent and less likely to jump in with an educated guess, compared to having the upper subconscious retrieve beliefs from storage which will be more accurate in representing the makeup of the person. This is certainly the case with deep subconscious channeling, that the conscious mind is not involved at all so, in effect, the intellect does not take part. So the two sources of beliefs available through conscious awareness participating are coming from the cellular consciousness of the mind or retrieved by the upper subconscious from long-term memory.