It doesn't get a free pass from me but it seems to work fine with only first party cookies, ublock origin and built in tracking protection active, and most (but not all) third party content blocked by umatrix.

Alternatively you can use the link in GP to grab the video via yt-dlp. Can even do that via tor if you want. (Weirdly at least historically youtube was friendlier to tor exit nodes than it was to a lot of mainstream VPNs. Not sure what was up with that, haven't tested it in a while.)