To reproduce:

1. Open the project, attached by the tester (emmisiveBug.7z)
2. Open the "Testland 1" scene
3. In the Scene view, focus on Cube_LOD game object
4. Zoom in and out
5. Observe the emmisive lights on the cube

Expected: emissive lights are visible in all LOD levels

Reproduced in 5.6.1f1, 5.6.2f1, 2017.1.0b10, 2017.2.0b1
Could not test for regression due to us not supporting backwards compatibility

By design: LOD0 has a real-time lightmap, which is why the surface shows visible highlights from the emissive spheres surrounding it. LOD1 and up do not have real-time lightmaps but are lit via real-time light probes. The object itself is set to use Blend Probes. That means that the entire LOD1 will receive its indirect lighting via one blend probe which has been interpolated from the closest light probes around it. In order to get more detail, a light probe proxy volume component needs to be added to the LODs and they need to be set to use LPPVs instead of blend probes, then you will get more detailed lighting on the object.