In the case of such an iconic subject as Jesus Christ perhaps we can come to the image without needing to see the eyes; we can come to the image with an instilled sense of the character; we consider that we know this man.
So, it is not probably not such a challenge after all to present an image of Christ that is accessible but with the eyes closed, creating an appropriate reserve, a sense of the privacy of the man whose true character remains to us a mystery beyond knowing that Christ was, as related in Scripture, an essence of Consideration and Justice. These traits are possibly more easy to represent in the form of a subject whose eyes are closed, like a presentation of somebody who is in deep contemplation. We can, perhaps legitimately, consider that the person is not lying down or asleep because of the way the hair falls slightly forward and down, whereas if the person was laying down then the long hair would most likely fall away to the sides.
The image is then to be of a man whose head is upright and projecting toward us but without presenting a corresponding witness to our gaze. We can make an approach to this man but we cannot gain any purchase upon him in an expectation of receiving a direct and immediate response.