Before revision:  The resulting estimators are  locally efficient, polynomial-degree-robust, and inexpensive since the quasi-equilibration only goes over edge patches and can be realized without solutions of patch problems by a sweep through tetrahedra around every mesh edge.
After revision:  The resulting estimators are reliable, locally efficient, polynomial-degree-robust, and inexpensive since the quasi-equilibration only goes over edge patches and can be realized without solutions of patch problems by a sweep through tetrahedra around every mesh edge.