Sweden is a country like this. It is just the way it is here. It can be abused, sure. But all things considered, I much rather have my things hosted here than in the US.
Sure, those EIO will be held if Hungary starts applying EIO that it got (e.g. for former Ministry of Justice of Poland which awaits trail, he sits comfortably in Hungary).
Let's hope elections there will change Orban into something saner.
You can look at past ECHR decisions for countless cases of abuse by various national governments.
You can look at the history of EAW related litigation also, it'll probably prove most informative. Executing states used to constantly deny requests due to judicial review, rules were clarified to remove the possibility of judicial review by executing states.