I think you might be missing the ‘concerning’ part. Which specific cases are concerning? I don’t find it inherently concerning that people can’t escape justice by crossing the Hungarian border, Bonnie and Clyde style.
Too explicitly spell it out, op is saying here that if any one of the 27 countries in the EU decides you are breaking one of their laws, they can have 1 of the other 26 enforce an EIO.
EIOs are subject to a dual criminality requirement. So it’s not as if arbitrary Hungarian laws can be applied in France via EIOs. And of course, we all know this is not happening, which is why we get radio silence from the people who are ‘concerned’ about this whenever specifics are requested.
Annex D is a list of things that are crimes pretty much everywhere.
Not sure what to make of the claim that Hungary might theoretically be enforcing Hungarian law in France. It seems surprising that no-one has noticed any specific consequences of this that you can point to.
The EIO is mostly just a formalization and standardization of a bunch of ad-hoc processes that were already in place. Law enforcement agencies in different European countries do try to assist each other, on the whole.
Oh no, that's totally up to you. If you're happy with the courts in your country not being able to review the requests sent from Hungary, that's cool. Without transparent judicial review, how could we even know if the cases are concerning?
"Subject to review" means little more than "is the form filled correctly?", it certainly does not mean second-guessing by the courts in the executing state.
Like, yeah, your EIO will be rejected if you don't tick any of the crime-category boxes in the form.
An LLM can probably find some better links though.