I don't think there's even a technical way to do this anymore. Digital ads are not actually audiences anymore (bundles of people labeled a certain way).
IMO the regulation needs to be at the data collection side: advertisers should only be able to collect data on a defined set of dimensions and each dimension should have a defined maximum specificity. Then beyond those, advertising platforms need to compete on making their actual products more compelling rather than making them better at sucking up data.
I agree, but I think the concept of data provenance would have a role. It should not matter if data is laundered through 'aggregation' or 'anonymization': if it was originally generated about an individual, and used to target an individual, that data should be an expensive regulatory liability.