So, seems like the logical way to run a business would be to create a bunch of internal metrics but never let any of your reportees know what they are.

Or even better, "leak" that there might be metrics (that are in reality false), and then see who allocates resources towards maximizing them. Favor allocating resources to those who hit your internal metrics, favor de-allocating resources towards those that hit your "honeypot" metrics.

This all kind of depends on having direct reportees who have a great degree of latitude in how they spend their resources I suppose.