I might have been unclear on this aspect. My point was that privacy can affect other rights in complex ways, including, as a way of example, freedom of speech.
In the example I was talking about in the article, I was trying to say that nowadays people have different norms and opinions on what is fair. That is great, however this means that without privacy I can hurt you simply by sharing something about you with a a certain community. For instance, I can take something you said in private, or one fact about you (i.e., you are a member of party X, or have a certain sexuality, or belong to a certain religion) and share with a community that will misinterpret or attack you for that.
In the past we allowed the press to violate privacy of important people for something nefarious (i.e., they hunt people for sport). Now everybody has the power to violate privacy of anybody for any reason they see fit.
So, now maybe we should forbid everyone to violate the privacy of anyone, otherwise we will lose freedom of speech, because will be afraid to say anything for fear of being taken out of context. Maybe we should all agree that if you disagree with somebody you cannot call a mob to defend your opinion, but you should call them with your speech. That is not an obvious choice to make. As others have commented, what about actually powerful people? Just disagreeing with them will not change their opinion, because they are more powerful than you. So, I am not saying that is easy to understand what to do, but that privacy can actually change how we use other rights.