Since infrared bulbs don't really effect their nocturnal activities it may not be a problem. It is possible that the light kicking on and off could stress him out a little. Not only this but it also takes a little time for the bulb to warm up to produce the heat so there will be a delay before it begins to raise his temps again. The bulbs life will be greatly reduced from being turned on and off so often during the night and day. It would probably be best to keep it seperate. Just incase.