What on earth are you talking about? Recording radio or television for personal use is illegal now? Are we so used to not owning a single thing that these things are alien to us now? I mean, I'm not misremembering the era where people taped shows to watch them later, am I?
Also, pardon my language, but fuck off with your "watching videos on YT's platform". It's my user agent, my hardware, my actions that are causing the video to be shown. I'm already making allowances to youtube by executing their code mostly unencumbered, I'm not bending over backwards and granting them extraterritorial rights.