I'll take a look later but quick check he is using two different devices which means its not identical hardware/ firmware.
Also there are many many many more cases where performance has been the same
And countless others who see no difference between windows and Linux.
Most times if there is is due to dxvk / Proton fixing a game bug/bottleneck, or invalid testing with not identical settings/hardware.
There is no way windows is using more power and giving lower clock rates without some other bug effecting it.
Edit: finished the video. He didn't show any actual testing its basically as in depth as the Tom's article.