Activity Status Displaying on client when not visible to other members

When you disable the "activity status" option listed under an individual server's privacy settings, it makes it so no one in the server can see what your current activity is. The only issue is that from the client's point of view, the activity status is still showing. 
The client is currently in a game with the "activity status" option disabled in the server's privacy settings. Despite this, from the POV of that account, the "playing x" message still appears, while, as the feature should, other server members cannot see the activity.

The issue in this is that as from the perspective of the account owner, nothing had changed when the activity status option was disabled. This could lead to confusion if the feature is working as intended or not. 

What I am proposing is that when the activity status option is disabled in a discord server's privacy settings, the "playing x" message does not show on the client, or that there is some other indicator displaying that your activity status is hidden within this server.