WCBS in NYC carries spill-over sporting events from sister station WFAN, an all-sports station. But because those games aren't streamed, the all-news format continues on the internet. I have mixed feelings about an All-News station that isn't fully All-News, although I could understand the appeal of carrying the games... especially if it means KNX gets the playoffs and the Super Bowl as well.
Even on Sunday night, you might still want an update on the news, weather and traffic. That's why these stations are even running All-News at 4am on a Sunday. In NYC, at least CBS has another All-News station, WINS. But in LA, there's no such alternative... and as mentioned above, 740 KCBS from San Francisco is hard to pick up in some places due to KBRT Costa Mesa on that frequency, even if it is only 190 watts at night.