2 question(s) from the community have been answered.
Can these be surface mounted to a recessed junction box in the ceiling?
The Hinkley Lighting Kube 1 Light Outdoor Ceiling Lantern 1763SW can be surface mounted to junction box that is flush mounted inside the ceiling, But there is no information available if this fixture can be mounted to a junction box that is recessed in the ceiling. It would depend how far inside the ceiling the junction box is recessed since the mounting screws may not be able to reach the mounting plate and junction box.
Can these be mounted on a vertical wall to shine downwards?
No, since the Hinkley Lighting Kube 1 Light Outdoor Ceiling Lantern 1763SW is a down light ceiling fixture, if you mount it on a vertical wall the light will shine outwards from the wall. But there is an identical matching wall lantern, the 1766SW which is a downlight.