Yes, that’s exactly right. It’s a very simple matter—if a user doesn’t want to connect the session to Fortnite, they can avoid this issue by setting the option to “Launch On This PC.”
But, there is always a chance of forgetting to do this. When working on multiple projects and conducting various tests, it’s possible to occasionally overlook switching the setting.
Personally, I think it would be more user-friendly if the icon changed in the same way it does when the button enters the End Session state.