I doubt there is any operator of twin Boeing's anywhere that would advise anything other than to land overweight. It should even be considered in aircraft that DO have fuel jettison capability.
From my POV if the engine "Just flamed out" for no apparent reason, you have no way of knowing if whatever caused it to stop won't cause the other to do likewise.
MLW is simply a structural consideration. If you regularly landed over it, you would excessively stress the airframe and reduce it's life.
Do it rarely in emergency situations, and all that it will mean is an inspection before the aircraft flys again, so it's a no-brainier.