Having read and followed numerous discussion on the subject, it seems that possible downsides arise from having unwanted comments or discussions primarily byunwanted by the authors of the article.
However, enabling the authors to moderate all comments themselves would seem to address those concerns. That is, when the authors would receive the comments first and then decide whether to make them public. Of course, that would include the possible decision by the authors not to receive any comments at all, a decision that they should also be able to reverse at any time in the future.
Basically, since the authors are the ones who wrote the paper, they should own all the corresponding rights, including any comments and moderation.