Outstanding introspection! Personally, I see value in People Anlaytics shifting away from descriptive reporting (headcount/productivity) towards organizational design/architecture. The shift would focus on the interdependence of work across the "souls on board" and the encourage redesigning the organization to optimize for the right incentives without compromising the human element..

Put simply, CHROs should have the same influence on organizational structure as COOs and People Analytics can shift their focus towards enabling CHROs to wield this influence effectively.