Because you can set up a feed that only provides a short intro and require a click through for the full article, which many websites do with their RSS feed.
It increases the number of people regularly visiting your site.
Also people share articles. If you have a feed there is roughly 0% chance of me sharing one of your articles. If I subscribe to your feed and like the article then I may share it with friends or post to Reddit or Hacker News.
Of course while you may reach some users that you wouldn't have otherwise, you may also lose some ad views from people who would still check your site if there was no feed. So it is a balance.
Not everyone is you and you're ignoring the fact that some people do subscribe to those feeds and will drive traffic to your site for a completely negligible effort even if you personally wouldn't.
Your original post was about why you, as a website owner, would provide an RSS feed. Not why you personally would use an RSS feed
My original post is about why RSS didn’t take off. My second post is also about why RSS didn’t take off. Together they present an angle from both the provider and consumer sides with the greater point that Google didn’t kill RSS — rather, the relative unpopularity of RSS caused Google to pull out.
It increases the number of people regularly visiting your site.