Due to David Hilbert's 1918 promotional efforts, J. Droste's May 27, 1916 metric solution of the Einstein equation for a static point mass fixed to the origin is universally featured by gravity textbooks, but is seriously misrepresented by those textbooks as the work of Karl Schwarzschild: Droste's metric solution has a well-known singular "event horizon" at the Schwarzschild radius, but Schwarzschild's January 13, 1916 metric solution is singular only at the origin. Here we present a simple family of transformations of Droste's singular "event horizon" to any radius value whatsoever. The blatant absurdity of, say, the earth's gravitational field having a singular "event horizon" at some arbitrary height above the earth's surface establishes beyond all doubt that gravitational general coordinate transformation covariance is, exactly like electromagnetic gauge transformation covariance, merely a dynamic symmetry which is unavoidably broken by the unique physical metric solution.