Can I agree with both sides? First, I must state that I have no advanced degree in thermodynamics or anything similar. That said, I am using a common sense approach. I think the link between both sides is heat loss. If the ventilation is so great that a temperature equilibrium is reached in a fully insulated coop, then in fact the insulation does nothing. Stating the obvious, insulation doesn't produce heat. Therefore, insulation will not make a coop warmer. Insulation only reduces heat loss. Ideally, it would reduce the heat loss to a point where temperatures inside the coop will stay the same or increase (in winter). If a very well ventilated coop is located in a cold, windy area, it is entirely likely that insulation would do nothing. If, on the other hand, the coop has large windows, heating devices and other heat inputs then the insulation would be highly effective at keeping the coop warmer at night until the passive solar heat returns.