The discussion confirms that for most materials, particularly metals, increased temperature leads to greater electrical resistance in wires. However, this relationship does not hold true for semiconductors or insulators, which are not typically used as conductors in circuits. The heating power in a wire is proportional to the square of the current multiplied by the resistance (I-squared R). Therefore, it can be stated that as the wire heats up, the current may also increase. Understanding these principles is crucial for circuit design and analysis.