The point lights make the prop lamps very bright when inverse square is on. (As it should because they are really close.) Occasionally IDL will "see" one of those with its sampling ray and add the bounced light from the prop making a brighter spot. Mostly it does not.

If the prop lights are a separate prop, untick "Light Emitter" on them and they will not contribute to the lighting. And we don't want them to here anyway - that is why you put the point lights in.

If they are not a separate prop, you can place another prop over the hyper-lit surface, make it black (no reflection of diffuse light), make it invisible to camera, but leave it as an emitter. It will block the light from the point lights hitting the prop lamps.

 

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Renderosity forum reply notifications are wonky. If I read a follow-up in a thread, but I don't myself reply, then notifications no longer happen AT ALL on that thread. So if I seem to be ignoring a question, that's why. (Updated September 23, 2019)