Earlier quoted context omitted.
tl;dr New materials can help, but "resistive losses" aren't really the driving factor. The energy is a mix of leakage current and active current. Leakage current can be thought of as resistance - it's how much current flows through a transistor that's off. This can be better based on the material, but gets harder with smaller transistors. (Thinking about quantum tunneling as a resistance is good to get intuition, but…
From what I understand while these two do contribute a lot to power usage, they don't really contribute that much to heating by themselves? Leakage should happen all the same in a processor that's completely idle and those typically don't heat up much. For higher clock speeds specifically I still don't see how lower resistance isn't key.
Modern processors are very careful about this, and actively turn off the supply voltage to large parts of the die to prevent extra leakage current. The funny-but-appropriate name for this is "dark silicon" https://en.wikipedia.org/wiki/Dark_silicon