Since the 1.8.0 update my small furnaces are now using fuel. So are campfires , but tuna can lamps and Miners helmets are not.
"Entities that ignore fuel consumption": {
"Campfire": true,
"CandleHat": true,
"Firepit": true,
"Fireplace": true,
"Furnace": true,
"Lanterns": true,
"LargeFurnace": true,
"MinersHat": true,
"OilRefinery": true,
"Quarry": true,
"TunaLight": true,
"SnowMachine": true,
"FogMachine": true,
"CursedCauldren": true,
"ChineseLantern": true,
"Barbeque": true,
"Chainsaw": false,
"SmallGenerator": true,
"HoboBarrel": true,
"FlameThrower": false
},