Is writing a blog post no matter what - even if you don't have much to say - such a worthy goal? It's not like there's a shortage of blog posts in the world...
Writing begets writing. The process of sitting down and figuring out what to say is something that gets easier and hopefully better with practice.
You're right. There isn't a shortage of mediocre content on the web. I use this method to improve my writing. Consistency is everything. Also if I have ideas to share (like this post) that may help people, I think that is worthwhile.
While I'm not sure they should always be public, I think blogs are a good way to force yourself to write. I recently started one because I want to (a) become a better writer and (b) to have a place to put personal reflections and pieces of interest. While each individual blog post might not be read-worthy, the added experience will likely help in your future documentation practices.