Tabloids want to sell stuff, they do so by namedropping famous people through their publication.
Western tabloids do this just as much. At the end of the day, it's someone's job to write articles that will bring in their pay cheque. We can say "why don't they do something productive" but that goes to everything everyone in the world does
Why do they write bad stories, why don't they write about provinces recovering from earthquake?
Why do they write music and sell it, why don't they give it away for free as in these times people can't afford it?
Why do you listen to music, why don't you volunteer at a soup kitchen?
Why do you only volunteer 5 hours a week, why not 25?
If you put it in perspective like that, everything anyone does could be labelled "pointless" xD But at the end of the day, Ayu's fans aren't going "omgwow she maybe doesn't like ABK48 i will set all her CDs on fire" or "I am becoming an anti now thanks to this article". In a few weeks it will likely be forgotten like Kuu's incident. If you don't take the bait and go read all those articles they'll stop writing them eventually. Your hits on the sites are probably making them want to write more on it!!