I've had the stream open the whole time and I don't seem to be making progress on the Twitch drops either.
I've reloaded, opened the stream in a new tab, hit pause/play, mute/unmute, etc. in case it needed to be reminded that I am in fact watching since I've had that issue before, but nothing seems to change on the drops page. I'm watching in the browser of my PC, if that matters.
Not a huge deal, but I'd still like the chance at getting relics for the Protea part I don't have yet.
EDIT: Sent a message in chat in case that would do something to trigger progress. No luck.