Note the part that says “for a given current” the degree of heating is proportional to the resistance.
You know why this is? Because, by ohm’s law, if you raise the resistance, you have to increase the voltage to keep the same current, which means you are putting more power into the element.
Saying “The degree of heating for a given current is proportional to the electrical resistance of the conductor” is the exact same as saying “for a given voltage, the degree of heating is inversely proportional to the resistance.” Since you kept the 120v constant in your example … Well, you get the picture.
In this case – not better to be “Lucky” than smart.
