Yahoo is actually very dominant in Asia so I don't see it going away anytime soon. Not only that, it seems to do very well over there. Over here... I'm still kind of upset that they closed geocities. Geocities in Asia is still up.
Especially in Japan, Yahoo! is well integrated with many of the other things they do online.
"Yahoo Japan and its “Social Media” search with integrated blogs and tagging is a way of life here in Japan, Yahoo is the Japanese Life Engine.
Why? For one reason Japan is crazy about blogging, with nearly 10 million blogs (9,437,813 at press time) indexed in Ask Jeeves Japan Bloglines search engine (again, I’ll have Yahoo’s blog stats tomorrow). Yahoo Blogs is the premier interface for bloggers in Japan, with most blogs being personal and a large percentage of the active bloggers are females (moms and housewives), connecting via the Yahoo Japan community.
If a Japanese user blogs on Yahoo Japan, shops on Yahoo Japan, bids on Yahoo Japan Auctions, and finds local shops via Yahoo Japan Local, roots for the Fukuoka Hawks baseball team which plays in the Yahoo Dome, and has Yahoo BB as their ISP, chances are they will highly enjoy having Yahoo Japan as their default search engine in the Firefox browser."
So although the article is old (2005) and there are a lot of shits to other blogging sites and platforms, Yahoo! still remain integrated with many other things they usually do online. It's just like how over here Google is everywhere.