We can allow access to private persons while disallowing commercial usage and forbid data processing of private information (outside of law enforcement access).
Kinda like it was in pre-digital days, no we can't go back but we can at least _try_ to make PII information safeguarded.
Most EU countries have digital ID's, restricting and logging (for a limited time) all access to records to prevent mis-use. Anyone caught trying to scrape can be restricted without limiting people from accessing or searching for specific _records or persons of interest_ (seriously, would anyone have time to read more than a couple of records each day?).