Except the two newspapers here aren't public, they're right-wing rags: Le Figaro and Le Parisien, both owned by right-wing oligarchs (Dassault and Arnault respectively) trying to fuel this climate of fear and hate to further their economic interests by getting a right-wing demagogue elected. Both papers are caught lying all the time, like Fox News.
But they are not a State tool, they are the tools of they owners which are all private billionaires.
The public money is here to pretend that, because they receive it, they'll work for the interest of the public.
What it actually does is to lower the bill for their owners.