Intellectual property protection is opt-in. It requires the individual to enforce his rights before a court in the relevant jurisdiction. The government only facilitates registration and adjudication. Courts don't force individuals into global protection schemes against claimant's own will.

Whatever the expected merits were, GDPR's existence as a policy has been of little more use than a protectionist beating stick in service of the EU. It gave the EU the power to dictate how websites are to be designed. Non-Europeans with business interests inside the EU had no say or representation in the matter. Governments shouldn't claim universal jurisdiction over the Internet, whatever their reasoning for such claims might be.