I’m fairly certain it won’t
Categories can belong to a Group
Members can belong to a Group
Topics belong to a Category
It might be fairly easy and not be much of a resource hit to associate a Group to a Topic based on the topic creator.
But what is wanted is to associate a Group to a Topic based on topic participants.
In effect this means that every time any topic gets a reply, code would need to find out what if any groups the poster belonged to, and then if applicable associate the group(s) to the Topic so that it could be styled in topic lists.