I think so, but only on some devices. As far as I understand, you can only play in high resolution on devices which support stronger hardware DRM. On those devices recording the screen might be harder/impossible.

I never tested this theory though, so please do not quote me on this.

Amazon Prime, like Netflix, unlike YouTube (for now), uses DRM to protect videos. It would be very difficult to download them, and yt-dlp definitely doesn’t even try to bypass DRM.