Should do the same thing for immigrants on various work visas, to make sure they are aware of what salaries and conditions they are entitled to.
In America, it's required by law to post notices of employee rights in some common area of the place of employment. My current job has about 20 pages of notices posted just inside a secondary entrance, I doubt anyone's read them.
I think that system is pretty flawed. I like the idea of the government sending people periodic notices of their employee rights, and maybe regular reminders that focus on one particular right at a time (as a big packet given around your start date is unlikely to be read completely or remembered when a relevant issue arises).
"Under the terms of a new law, helping migrants legalize their status in Hungary by distributing information about the asylum process or providing them with financial assistance could result in a 12-month jail term."
Also you (accidentally?) Glossed over the part that it's targeting illegal immigrants.
It's specifically targeting potential asylum seekers that are “illegal immigrants” only to the extent that they are unaware of the proper asylum process by criminalizing correcting that deficiency.
If / when that happens, OP would then be correct in his claim. Until then, he is incorrect.
Be careful of the precedent you are setting, normalizing fact-free judgement in society might someday turn on you.