Update #2:
I don't know why but technical community tends to see things in very absolute black/white terms when the reality is full of shades of gray. This is a response to several new comments that were added to this post:
.NET framework will not go away any time soon (or ever). Just about every technology that windows had since 90's is still around in some form or fashion. So for those that are so attached to .NET framework: a) don't worry about it disappearing and b) stop arguing in its favor as if your life depended on it, your API is safe.
WinRT does reimplement a lot of functionality that in the past was provided by Win32 and .NET framework APIs. People who want that functionality will have a choice if they want to use WinRT, .NET framework, or continue with Win32 API (that's not dead either). If WinRT doesn't support easy creation of web applications today, there's a very good chance it will support them in the future.
The position that Microsoft announced is that WinRT is a large framework which gave Microsoft a chance to start with a clean slate and built an API using lessons learned in Win32 API and .NET framework itself. I did try looking for that video, and still can't find it, but one of the things the speaker mentioned is that there are certain areas of .NET framework which could have been defined better/simpler/cleaner and WinRT exposes that same functionality in that new cleaner interface.