In this thread we're talking about publicly available data.
The fact that the path that works for non-public data is burdensome is good because it reduces abuse. Demanding that it be used for public data too just creates more pressure to undermine the (already insufficient, IMO) protections that exist for private data.
I think that using youtube-dl to download a video that a suspect has uploaded to YouTube, and presenting it in court is an example of doing policing right.
If you don't want your videos to be used against you in court, I would recommend not publicly broadcasting them to the entire world.