It's not built in, but saying it "should be" is a strong statement, in my mind.
A convenience item, certainly, but a requirement? RSS has a bit of a marketing problem to resolve before I'd say it absolutely must be there.
(Also, you don't have to use Google Reader; it actually produces a reasonable in-browser rendering of an RSS feed, if you click the icon in the URL bar.)
Strong disagree. Chrome is the only major browser that doesn't have native support for RSS. Even Internet Explorer does! Hell, it doesn't even understand RSS -- it simply shows the raw XML source.
Because of this, many blogs have links to their RSS/Atom feed with a fat "Subscribe" logo -- on Chrome, when you click that, you get a massive page of unparsed XML.
Whether a given grandma knows what RSS is or not is beside the point, it's lame of Google not to follow a defacto standard that many sites rely upon when there is no technical reason not to.
It seems weird the Chrome works so hard to integrate PDF / Flash / etc. so the users don't have to think about it and really push the envelope with their browser... yet they refuse to even honor RSS.
I do think it should be. But then again thats another reason i stick to opera. I don't want to load up another program to read my rss.
I also think it makes it a whole lot less technical when its built in to the browser. I could have no idea what an rss feed is but since opera tells me that I can subscribe, I subscribe and then it opens them to be read. I then remember the orange icon and know how it works on any site.
Thats a lot easier then taking the feed coping the url into a feed reader and having to open that every day to read my feeds.