Objects with self-illumination or CoronaLightMtl with "Emit light" off will always end up in the "rest (unassigned)"element.
This is currently a limitation of LightMix, but we are working on turning the "rest" element into a proper element (with ability to denoise, save, etc.) and on further improvements, such as ability to add those self-illuminated objects to regular LightMix elements.