I'm certainly no authority on the GDPR, but I can't see how its regulations have any effect on entities that do not have an operational presence in the EU or for whom the defined "data subject" is neither a citizen nor resident of an EU country. That non-EU contingency represents 94.4% of the world's population.
But in "Regulations" of the GDPR, Item 66 (which deals with removal of data) states, "a controller who has made the personal data public should be obliged to inform the controllers which are processing such personal data to erase any links to, or copies or replications of those personal data."
As would be the case in prosecutable instances of doxing in the U.S., I'd read that statement as directly linking to information being equivalent to quoting or posting the information. In other words, if listing names of individuals in a household in the 1950 U.S. census would be prohibited, then directly linking to the information also would be prohibited.
But there is an important caveat in Article 17 of the GDPR which, I believe, is why we see FamilySearch and Ancestry continue to display transcriptions and full images of census pages and other documents:
2. Where the controller has made the personal data public and is obliged pursuant to paragraph 1 to erase the personal data, the controller, taking account of available technology and the cost of implementation, shall take reasonable steps, including technical measures, to inform controllers which are processing the personal data that the data subject has requested the erasure by such controllers of any links to, or copy or replication of, those personal data.
3. Paragraphs 1 and 2 shall not apply to the extent that processing is necessary:
(a) for exercising the right of freedom of expression and information;
(b) for compliance with a legal obligation which requires processing by Union or Member State law to which the controller is subject...
The United States, being the example with which I am most familiar, is not an EU member, but it is a sovereign nation whose law in U.S. Title 17 §105 makes it clear that, once published, all federal census information (and many other government documents) must be in the public domain and freely available. I would say that conforms to the GDPR's intent of an exception "for compliance with a legal obligation."
If we're using the GDPR as guidance, I believe any link to information about a possibly living individual that contains "reference to an identifier such as a name, an identification number, location data, an online identifier or to one or more factors specific to the physical, physiological, genetic, mental, economic, cultural or social identity of that natural person" would be prohibited unless an exception stands for laws and legal obligations within an EU member state or an independent, non-signatory nation.
I don't think a dual stance is arguable, though. Either census and other information disclosure is governed by the country that owns and manages the data--in which case transcribing information from or providing images to U.S. census pages, as one example, is permitted as is linking to the information at an external source--or the GDPR general regulations apply and none of that is permitted.