I certainly appreciate your learned point of view. Clearly the concept of probability balance exists outside the purview of classical physics. But neither does it reside within the realm of religious mysticism. There is no abstract guiding hand or physical interaction that make it so. Yet there it is.
Did it not exist the universe could not exist. Or else the universe would exist in a perfect unchanging state. Meaning that in this later case, human affairs would have no down side, all would be bliss and happiness into infinity. In other words change, growth and death are impossible without probability balance. Thus in a weird way it forms the invisible foundation upon which physics rests.
Now I would no more expect that a modern day physicist would accept this concept any more than a twelfth century Pope would accept the harsh reality that humans and the earth were NOT at the center of God’s perfect universe.