You can try and likely ontain at least some erosion. Say you place 10,000 in Hungary and 6,000 end up in Germany anyway -- that's still some relief. These people have travelled for so long and gone through such a huge culture shock, if you try to integrate them quickly they will probably lose the appetite for relocating again.

Unfortunately, the unspoken truth is that Eastern European countries have a huge unaddressed problem of deep racism. They have not gone through the experience of being target for economic mass-migration from other continents yet, unlike most Western European countries have been for more than 50 years now (and still struggle with the issue occasionally, but with much softer undertones). Countries like Hungary will do the bare minimum required to keep their EU funding and will likely not even try to really help these people, which means the quota system might end up being an exercise in futility. We still have to try though, it's the only solution. We must hope our Eastern fellows will eventually find the compassion to change their ways.