If your PCV fails, then your idle at its slowest will be unable to sit at 800rpm.
It will surge upto 1500rpm and splutter. Mine has failed in the past.
I've changed coil packs , spark plugs, done Terraclean, and actually have VCDS to confirm this was narrowed down to a faulty injector, doing exactly what your video shows. Splutters badly on Cold Starting and improved once when warmed up, or if I turn on the air con ,which raises the idle speed to 800rpm, and 760rpm with Air con off.