Thread/post notifications are posted as chat messages and chat doesn't check for forum/thread permissions. You can't check for permissions when a thread/post is submitted and checking for permissions on each chat refresh for each user isn't ideal. In this case it's best to use the option "Display posts from selected forums only" to select only the public forums.
Have you refreshed chat? I noticed that various config changes you make sometimes require a page refresh before they show up. Aside from that, check if you've limited which forums the activity should be shown from.
@Rambro Nope. Works just fine here. Although I just realized that the buttons aren't big enough on my site. So yeah, I kinda have to thank you for making me realize that.
@Rambro Nope. Works just fine here. Although I just realized that the buttons aren't big enough on my site. So yeah, I kinda have to thank you for making me realize that.