Annoyingly news is also stuck in the document model from newspapers, every little update has to repeat all the background information under the assumption that people didn't read the previous articles. Even worse is when they update the same articles so you have no idea of what you've read and what you haven't.
On a related note, I've removed the distraction of personal email notifications from my life recently and become more organised as a result. When I check every day or two it's at a convenient time where I can actually pay that bill or at least move it to the bills folder, or unsubscribe from that piece of spam instead of just swiping it away. Turns out one of the killer apps that made me get my first smartphone a decade ago has been making my life worse.
Edit - I did some googling of weekly news and it seems like just about everything with weekly in the title is live updating and/or not news.
Edit 2 - for Australians I found a twice daily news subscription from the ABC: https://mobile.abc.net.au/news/alerts/ . It's not exactly what I wanted but with an email filter it might be workable.