A growth curve is mistaken for a complete real fire

A fictional analysis supplies a t-squared growth model with defined units and a separate fuel-mass estimate. The analyst multiplies the fuel mass by its effective heat of combustion and calls the resulting energy the fire’s peak power. Another team assumes that because a remote smoke layer has cooled, occupants face no hazard. Ventilation, visibility and toxic exposure have not been assessed, and no ignition experiment is performed. Identify which quantities and conclusions have been confused, explain what the supplied mathematical model actually supports and describe why actual fuel, ventilation, geometry and exposure evidence are still needed before drawing a life-safety conclusion for a real building.