Somewhat naive question: can they/will they move to a different country that respects press freedom better? Perhaps working in Hungary is essential for them to carry out their job properly.
Foreign media has very limited legal rights compared to local media.
Employees of a website operating from abroad would not be able to access the Parliament building, buildings of state or local government bodies. Moreover, heads of national institutions, government officials, executives of state-owned and government-owned companies, and persons performing official and public duties are allowed to ignore requests for information, data or comments from the foreign press, but not from the Hungarian press.
If the government could interfere with the operation of press based in Hungary, they'll have a much easier time messing with the operation of nominally-foreign press.
