For the most part, I don't like it. If you're going to post anonymously, you should allow other people the same option.
However, it really depends on the question to me. A question might be sensitive in nature, so a person might not want to reveal the identity, but they want to avoid having people anonymously troll them.
It doesn't bother me. In fact, I have made a question anonymous and blocked out anonymous users...only because I do not want them to answer rudely. Ignorant people make others do that on here. :/ Or else, I wouldn't have ever blocked anonymous answers.