It's neither sufficient nor insufficient: it's not part of the equation, period.
Sure, your example works OK because it is still within the sphere of rational thought. But with Higher Consciousness, what is being pointed to is not. It requires a rare moment of openness that is not dependent upon learning, knowledge, preconception, or indoctrination. It is a momentary opening of one's true nature before all that baggage came into the mind. This kind of consciousness is unconditioned consciousness. What you have described in your example is conditioned awareness. You see what I am doing here? All I am doing is pointing to something, but that something cannot be explained or defined logically, rationally, or conceptually, It is telling you what it is not, while at the same time prompting you to 'just see', intuitively, without any thought process going on at all. Some see it, some don't at all, depending on the extent to which one's conditioned awareness is at work. But even when we try to 'just see', we are still unwittingly doing it via the conditioned mind. That is why the tool of meditation is so useful; via meditation, we can subdue the overactive 'monkey mind' of Reason, so that real seeing can come into play.
The world famous haiku poem:
'frogpondleapsplash' (my own rendition)
requires no such 'rational use of a theory of mind' to understand. It requires a complete but spontaneous openness of conscious awareness in which one has no foreknowledge or expectation of the event. In fact, it requires a state Zen refers to as 'no-mind', as the mind is nothing more than a self-created principle, and in reality, is a complete illusion. In FACT, it does not involve an experiencer of the experience called 'I'. There is only the experience itself.
Unlike proselytizing, consciousness has no doctrine to foist on others. It's not a religion or a belief; it's just the way things are.