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https://en.wikichip.org/wiki/race-to-sleep

The laptop that used to last 6 hours when watching videos now lasts about 8.

The fans were not spinning up to full blast at that use case bore the mod too, so I don't know how much the fans are responsible for the difference. My speculation is that the CPU is using less power when cooler due to the relationship between temperature and conductivity.

CPU stays cooler for longer -> Processes throttle less -> Processes finish faster -> CPU can return to idle state faster

This is particularly noticeable in burst-y workloads like web browsing or software development.

Maybe. That laptop is mostly used to watch Youtube and streaming movies and sometimes to do online shopping(she is using the company laptop for work, so no actual work done on this device since a year at least).

Static power (leakage) increases exponentially with temperature. Although, static power should be relatively small compared to dynamic power for TSMC's latest nodes.