I mean, if you want to support that kind of view, you could certainly just purge anything more than 10 articles old or whatever from the RSS feed from your inbox.
We probably just use these things differently though. Like, if a product I'm interested in gets reviewed I want to see that -- I don't want to have to go search the website later because maybe it was reviewed but I wasn't hovering over my RSS feed the hour or two it was the top story.
Basically, it completely replaces the website's front page for me, and if I have to go there I've failed.