To be fair, I think in the US, even if we did have a state broadcaster, we would refer to this as setting the state broadcaster building on fire. Because state broadcaster sounds like a person and not a building or institution. But it might just sound that way to us because we don't have a state broadcaster.
The protesters are definitely in the right. Reserving some (in this case, many) of the top jobs in the country for the descendants of past protesters/fighters is just nepotism by another name.