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 locally efficient, polynomial-degree-robust, and inexpensive . They are constructed by a broken patchwise equilibration which, in particular, does not produce a globally H(curl)-conforming flux. The equilibration is only related to edge patches and can be realized without solutions of patch problems by a sweep through tetrahedra around every mesh edge.