I don’t actually need to disable Shields entirely, but I have to set the ad and tracker blocking to “Allow all trackers & ads” for it to work. So fingerprint blocking doesn’t affect it.
I found a temporary workaround that does not require me to disable blockers whatsoever. The trick is to open the channel first and then navigate to the videos or livestream tab and then open the video from there. Doing it that way somehow makes the video load properly, and shield still enabled completely.
So I’m guessing the issue is trying to go to the video page directly. If you navigate to it from the channel page, it works fine.
UPDATE:
It doesn’t work if you open the direct link, go to the channel page, and open the video page from there.
The channel has to be opened on a fresh new tab for my workaround to work.