See the other reply about why the EU can’t act. I’d just like to add context on the “why were they let in” front.
Hungary joined the EU in 2004. The country was more democratic back then. There were even some hopes of joining the Euro zone. Then the government of the time cocked up (basically their words), and Fidesz/Orbán, who were part of the anti-communist wave in 1989, gained a supermajority in 2010 and gradually rewrote the constitution and electoral system. Slowly eroded all the systems, took control of all the media, etc.
Not sure when they became Russia-friendly/controlled, but Hungary has been less democratic since 2010 and that’s where the problems stem from. I genuinely wonder how much of it all was a Russian plot from the start and how much was opportunistic.
I’ve also said this before and I’ll say it again: names of suspects and even convicted criminals should not be shared unless necessary*. That just makes no sense for rehabilitation as it opens people up for judgement in a court of opinion. Justice is the job of the justice systems and should not generally involve the wider public.
Could there be issues with the judgement or other events where the only way to achieve justice is via the press? Sure, probably, but I don’t think the default should be that if I google the name of someone I can find if they or someone with a similar name (and god forbid, appearance) were involved in a crime.
*: unless necessary here can cover cases like trying to find an individual on the run, or when their previous crime is meant to exclude them from specific lines of work, although even that should be on a need-to-know basis imo, not public info.