That looks like you don't need a special driver for VAAPI stuff anymore. Even hardware video encoding works in FFmpeg.
I've been using Linux on this computer for a while, and I've noticed that some of the stutters correspond to disk activity when playing video from a hard drive instead of an SSD. It's obvious because that 8TB HDD in the inxi output above has strangely loud seek noise (not a failing drive). It's even worse when editing video using Kdenlive (Flatpak version) because there's a pause when playing the preview every time it needs to load another video clip. That doesn't happen in Windows.