Yes, it has. See the "Announcing Web Search" thread in this forum. But apparently only a handful of sites so far. To see them, go to the Card Catalog and search on "web" (but a couple of returns on the search are not from this service).
I agree - it's a very promising service. Much like Google except it focuses on genealogical data, and it tries to associate dates with names making the results much more useful. But unlike Google, it doesn't make a "Cached" image of your page, so readers who want to know more than the brief summary (briefer than Google's) do have to go to your site.
I have no clue why some are so confused about this.