It would make sense to have a more general law about accountability for the contents of news. If news is significantly misleading or plagiarizing, it shouldn’t matter if it is due to the use of AI or not, the human editorship should be liable in either case.

This is a concept at least in some EU countries, that there has to always be one person responsible in terms of press law for what is being published.

That's government censorship and it not allowed here, unlike the EU. As for plagiarism, every single major news outlet is guilty of it in basically every single article. Have you ever seen the NYT cite a source?

That would bankrupt every news organisation in the USA.

If a news person in the USA publishes something that's actually criminal, the the corporate veil can be pierced. If the editor printed CSAM they would be in prison lickity split. Unless they have close connections to the executive.

Most regulations around disclaimers in the USA are just civil and the corporate veil won't be pierced.

I agree with that the most. That's why I added the bit about humans. In the end if what you're writing is not sourced properly or too biased it shouldn't matter if AI is involved or not. The truth is more the thing that matters with news.