Is it the information that's the problem or is the problem what others are willing to do with that information?
In cases like this the issue lies not in the specific datatypes, but the aggregation thereof.
I think most reactionary pro-privacy responses (the HN default perspective) really stem from a complicated internalization of data gathering/use capabilities that has been adjusted over time combined with a lizard brain feeling of invasiveness. Because almost always no one particularly gives a crap about YOU and your specific data, but they may profit from and misuse your information in passing or in aggregate.
It is a lot like the feeling of having your car broken into or house robbed. You feel personally violated but more than likely you are a victim of circumstance. It can be hard to distinguish between faceless identification for (ad network data gathering, for the most part) and the risks of general data availability that makes anyone as capable as an old P. I. (especially when data leaks conflate the two).
It's really amazing how much time people spend these days trying to gather information on people, considering how useless it is. I don't mean mass surveillance, I mean like people that you want to do business with individually.
Note you can achieve a lot of this privacy benefit much more easily by transferring ownership of your house to a living trust (where your name isn't on the name of the trust). For companies that just scrape and correlate info (as opposed to doing a targeted search), that is good enough.