Maybe I am too old, but I remember a time where the broad population recorded radio shows on Tape and video shows on VHS, and no one was asking any copyright questions. And yes, recording a TV show in your home VHS recorder and selling/giving it to third parties, was illegal in most jurisdictions and the same laws apply probably still today.
But recording something for your own archive and watch it home (possibly with family members) is probably also still perfectly legal (as long as no DRM bypass was used).
YouTube ad money works a bit differently, and downloading the video tends to bypass that process. Also, Streaming is by its nature on-demand, so there are a lot fewer benefits for downloading the video. Furthermore, U.S. copyright law has changed since the previously cited case, so there are some extra restrictions to contend with that the Sony case did not.