Fuel Gauge Sending Units compared

Total resistance is approx' 20 ohms. Later instrument had 13 inches of approx' 1 ohm per inch wire for total resistance of approx' 13 ohms. Both function exactly the same. The later runs a little cooler thus lives longer.
Can you explain how that works? It sounds backwards to me. If the voltage across the circuit is the same, than the lower resistance would have a greater current flow. Wouldn't more current equal more heat?