One effect of the special treatment of Syrian refugees was a black market for stolen or fake Syrian documents, and another that some non-Syrian refugees throw their papers away to claim being Syrians without papers. This was used by the official and non-official xenophobes not just in Hungary to put the refugees under general suspicion of being fake Syrians. Maybe that's what led to the TV news referenced by the Twitter post you saw.

A similar line of "reasoning" (one also echoed by the bishop of the border region in Hungary in his negative reaction to the Pope) claims that refugees cease to be refugees and become economic migrants when they leave Turkey.

_{*Lunatic*, n.
One whose delusions are out of fashion.}