This makes no sense to me. Add a copy location constraint to the default cube. Add an empty to use as a target. Rotate the target empty and it affects the cube’s location.
This happens when the empty is away from the center of the world grid and evaluated in local space. But why should it when it hasn’t moved, just rotated. Even the transform properties show that the empty’s location stays constant, so how can the copy location constraint have an effect at all on the cube when there’s no change in location to copy? There’s no reason for it.
The empty’s origin is centered appropriately. 