The picture is all he feels about it, all he thinks worth preserving of it, all he invests it with. If all the qualities which a painter took from the model for his picture were really taken, no person could be painted twice.
There is a distinction between fact and truth. Truth has an element of revelation about it. If something is true, it does more than strike one as merely being so.
Since the model he so faithfully copies is not going to be hung up next to the picture... it is of no interest whether it is an accurate copy of the model.