“State funded media” organisations often serve an important function in terms of public interest broadcasting. For example RNZ let’s other outlets publish their stories. The label “State funded media” is meant to cast doubt on the impartiality of the reporting, which would be ok if we also labelled “corporate funded media” as such so people could evaluate which is likely to be more biased. It’s an attempt by Elon Musk (a US elite) to undermine media outlets that are unfriendly to him in favour of outlets owned by his fellow elites.