I was just thinking that the fire you build over the pit is not for the purpose of heat treating the chert but rather a process that creates charcoal. It is this charcoal that fuels a long and even burn that lasts for hours and hours trapped between sand and insulating ash above. This ash blanket holds heat in and allows oxygen to enter slowly so it burns effeciently (because charcoal is more pure than wood) over a long period of time.