Without a doubt RSS is worth the time.
Think of RSS as an advertisement for the stuff on your news site or blog. If you don't publish RSS, how will people find your stuff? By visiting the home page of your site and looking for stuff they haven't seen before? Sure, some people will do that. But people who read your site systematically, people who you would think of as members of your community, can benefit from more automatic notification. That's what RSS is for. All kinds of networks have developed around RSS. If you don't provide a feed, your site can't participate in those networks.
Also, how do you think links make it to Twitter and Facebook? Very often they were posted by people who follow your site's feed. So while most people aren't aware they're getting their links from feeds, they are.
I'm not aware of how the plumbing works in NYC, but I live there, and depend on it. Water flows in and out. Treated on both sides. RSS is the plumbing for news. It's best when it just works without you having to even be aware of it.
Here's an example. Sometimes I get so interested in a subject I put together a river site dedicated to news in that area. Earlier this week I did one for Major League Baseball.
http://mlbriver.com/
The vast majority of the sites I went looking for feeds on had them, and they worked with my aggregator. I didn't need to contact anyone. And now they have a new source of flow, that didn't cost them anything, since they were already supporting RSS.