Many bloggers who do not write anything else sometimes mistakenly believe they are not writers. Writers come in many forms and shapes. Not every writer pens articles for newspapers and magazines. All of them don't do educational material. All don't write books. But the one thing they all have in common, blog, author, freelancer journalist, is they work with words daily. Those words are then later read by someone else, even if that someone is just family members.
I take great pride in my writing here on my blog. Maybe I'll get to doing my children's book one day or maybe not, but I know that I write well and I don't have to publish a book to prove I am a writer/author.