Mixed Lights not showing up in reflections

Hi. I have set up a simple scene, with an enclosed space made from boxes. Then I put in some pillars to see the shadows. Then I have 8 Mixed Point lights in the scene, which all have soft shadows on, so the shadows get baked. However only 5 of the lights are reflected on the walls? If I turn off shadows for the lights, then all lights are reflected on the walls. Why is this happening? How can I use mixed lights so they all bake their shadows, to be used in Shadowmask mode, but also so they can be seen in the reflections?