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.
