RSS solves the problem that web portals with updating content are web pages that you have to grok in their rendered form. RSS allows such a web page to offer a summary of the updating items in a more structured form that users can consume via a feed reader.
The idea is that checking an Inbox-like reader dashboard with 7 feeds is less time consuming than separately going to 7 websites and scrolling around.
RSS readers keep track of which items are new. They can filter items, mark them "read" and delete them. They offer searches through the items.
Using the original site instead of its feed doesn't guarantee you don't have to follow any links.
Look at this HackerNews: you have to click on links in the front page to get to the submissions, which are in different sites. Gee, how useless; if I have to click, I might as well just go directly to those websites and skip this HackerNews thing.