It's not about privacy per se but Tridactyl "A Vim-like interface for Firefox, inspired by Vimperator/Pentadactyl." because, like Userscripts - Tampermonkey, you can basically redesign any website.

A basic privacy oriented solution I made was using autocmd https://tridactyl.xyz/build/static/docs/modules/_src_excmds_.html#autocmd to redirect YouTube content to my local https://github.com/user234683/youtube-local and that works even with embeds.