luceos That's a good question. It could be that private discussions allow tagging and are listed alongside other discussions in a tag's feed and marked with a private badge – although, I suppose you might then fall into permission issues where an individual included in the private discussion does not have permission to view a tag on the discussion.
I am thinking, in the long-term, it might be nice to have a featured that would allow a private discussion to be published if all participants grant such approval – thus, it'd be nice to treat private discussion as near to standard discussions as possible. Seems like that would also allow for significant repurposing of features already present. But, I suppose, as you hinted at, it may limit the possibilities, as well.