I know that this is possible to do, because for example YouTube is able to do that in mobile browsers. I don’t know how they do it, but for example if you open this link in a mobile browser and unmute it and allow auto play to continue to next video after it then notice that the next video is unmuted as well.
https://m.youtube.com/watch?v=0MW0mDZysxc
I guess it might be that they reuse the same player element that was unmuted or something like that.
I think it would be possible to achieve something similar even with multiple player elements by doing something clever.
I think there are ways to do it but I couldn't get it to work. I believe chrome makes exception to this rule for big trusted websites like YouTube
Looks like there's an auth parameter in the upvote GET request, so sounds entirely plausible.