There should be no evidence that the fire ever existed. All campfires require crushing coals to ash, soaking with water to eliminate fire danger, and disposing of the ash. The stove will most likely be the fastest method of boiling water. Fires require more preparation time, especially if proper care is taken to Leave No Trace. A true Leave No Trace fire should leave virtually no sign of its existence.
Stoves require virtually no cleanup when used properly.
The fire pan, set on rocks or some other suitable surface, will not damage the land but still will require disposal of ash. Traditional fires will scar the surface upon which they were built, requiring rehabilitation of the fire site. These fires are usually built with rocks that become permanently scarred. Your group has had the opportunity to experience and discuss the benefits and procedures for building different types of fires. Summarize the advantages and disadvantages of campfires and backpacking stoves.