Considering careers.stackoverflow.com, employers may be intersted in seeing your questions, answers as well as your comments.
Some comments contains valuable information that can show your knowledge to a potential employer.
It could be woth the cost to add a publicy available section in user profiles, showing all comments. A new dedicated tab, or an expandable section in order not to pollute the user profile.
Most times user comments are not inteligible, when read out of context, Why not to display its whole context. That is: the related answer followed by all comments including the concerned user's comments, highlighted in a dedicated color.
As stackoverflow's main goal is dedicated to provide the best answers to questions, the adding of this feature could boost the comments quality and indirectly enhance answers quality, and prevent it from being used as chat room , as it could pollute the comment section in your public profile. SO users might be more prone to delete their unvaluable commments as a consequence.