Where the error actually comes from
Not the sensor. The base.
The surface of a stockpile is easy to measure. The bottom of it is not, because you cannot see it. Whatever assumption you make about the toe and the underlying surface drives more error than any difference between capture methods.
Second problem is repeatability. A volume on its own means little. A volume compared to last month means everything, and that comparison only works if both surveys used the same base, the same coordinate system and the same toe definition.
Third is access. Active pads have loaders on them. Covered sheds have no sky view. Neither is a good place to walk with a GPS rover.