This feature would allow for easier moderating and overviewing a user’s profile if any topics are old and should be closed after discussion there has ended. Instead of clicking on the topic to see if it’s closed or not, you can see right there in the topic summary on the user’s page.
I made a more than crude “drawing” to show my thought more clearly. Move the title of the topic over and put the lock/closed symbol to the left of it.
I don’t know if you guys are trying to keep the quick summary of the topic in the user’s profile simple and to the point, but it would be helpful if the symbols for unlisted and archived could be shown as well if possible.