Are you joking? Lots of EU countries have had this, and still do.
For example in Finland, https://www.traficom.fi/en/services/vehicle-data-and-tax-pay...
In Sweden you can text the cars registration plate to 72503 and get the cars owners info.
In Norway you can look up car owners by registration plate or VIN https://www.vegvesen.no/en/dinside/kjoretoy/finn-eier-og-kjo...
In Portugal anyone can request the registration certificate from the IRN, that contains the owners information.
The governments aren't bound by GDPR and can totally do this, but as a private party it would generally be illegal for you to scrape this data.
>I’ve seen multiple attempts to make the same argument you are by disgruntled private aircraft owners every now and then. None have succeeded in any official venue.
Same is true of literally all GDPR violations, we've only just introduced these laws and catching up on the enforcement backlog will take decades.
Not only that, but most governments are doing a very shit job funding the enforcement authorities.
The obvious solution will be to allow impacted individuals to litigate GDPR violations by themselves.