I see this line repeated year after year, but is there any truth to it? Assuming at Twitter someone post the news at T+1 second as they happen, because you can'

I see this line repeated year after year, but is there any truth to it? Assuming at Twitter someone post the news at T+1 second as they happen, because you can't report news before they actually happened (unless your newspaper is called Tomorrow). The question then - are "old" newspapers really reporting major news with 24 hour delay (online)? Does ANY newspaper work with such delay? I honestly don't remember a single case when something big happens in the world today, I go to the "old" news site the same day and that event is not reported. Maybe some obscure regional politic events are reported with delay (even that is debatable), but why would you want some urgent news about obscure regional stuff? And how would a person understand that it is a real event and not a fake posted on twitter for some outrage?