I would reframe it as being less about privacy and more about availability and the lack of boundary-setting.
As a culture, we've shifted to a communications model where everyone is so connected to devices that everyone knows we all carry on our person at all times.
As a result, everyone is instantly reachable by text, email, or messenger app, both personally and professionally. Think back to 2005: smart phones didn't resemble what they are today, and text messaging still hadn't totally saturated communications. There were still times when one might think "oh, it's 10pm, this is an uncivilized hour for a social phone call". We still had soft boundaries around when people were expected to be unavailable.
Now, we expect and are expected to be available and reachable 24/7, and I think that also extends to displaying our identity on the internet. We aren't reachable 24/7 if we aren't look-up-able 24/7 as well. I think your question about privacy is just one symptom of the way our boundaries around availability for communication have shifted.