The entrance lights were mis-matched and falling off the wall. Out they went.
I picked up a matched set of sharp black wall motion-sensor sconces with seeded glass. They’re not dual-bright (i.e., the light is dimly on all night long, and then brightens up when it senses motion), but they’ll do.
Portfolio 11.5-in H Black Motion Activated Outdoor Wall Light
The junction box tacked onto the outside of the house will be a project for a different day. The hanging wire gets hidden behind the batten and then drapes loosely underneath the front door before disappearing into the dirt to power the driveway light. (Ten guesses why this circuit has a habit of tripping when it rains heavily. Related: Solar Driveway Light)