I just started having this issue a few days ago, i can't collect drops, check notifications and delete collected or unwanted prime drops notifications, i can't dropdown campaigns in the All Campaigns tab to see what drops that game is offering, i also can't have a stream running and muted in a non focused Tab without it going inactive anymore, i found a fix for that though, leave the stream un-muted and just mute the Tab itself.
It seems this is a dead thread though, but thought i would add my bit here to show it is STILL an issue, i tried all this in Edge and it all works fine, minus the Tab part, so that might be a new thing that Twitch has done to stop people doing it just for drops and not actually watching the stream, we all know they don't like the extensions that auto claim.