I was surprised to find the circuit as stable as it was. Wired to a 6V battery, I attached a speed 300 motor simulating the starter motor to the same V+ and ground. Initial spooling of the starter motor caused a small hiccup in the signal, but it quickly restabilized, and it shouldn't cause any problems in operation.
The C1 (0.1 uF ceramic) is essential to minimize this interference. The polarity of the thermocouple is important. If wired backwards, the circuit drops low and stays there, and could be confused with an operating TC at room temperature. A more elegant solution would be to offset the output so that if wired backwards, the output would deliver 1.0VDC, with the upper limit now 5VDC rather than 4.