Why would you care either way? You don't know me. You never will. Does the fact that when I post a question with my picture and nickname make your reply better? I'm already anonymous enough. I might as well put a picture of Adriana Lima as my profile pic. Who cares? We're all strangers to each other. Anonymity makes it easier to ask difficult questions or reply to them. So yes, I believe that they serve a purpose. Besides isn't wanting to know who posted what nosey? I never pay attention to nicknames either way. At the end of the day I'll still be a stranger. Even if you do know that a Kate just replied to your question you'll never know more than just that.
Why is it not okay to feature a question asked by someone who is not comfortable exposing their account name?
Yes they should. Why shouldn't they be? And also, why is this site so insecure and suspicious of anonymous answers?
I don't see anything wrong with it. A question is a question after all.
They should be featured just as much as non-anonymous ones, everyone has the right to go anonymous, if they pay xper for the featured question they should have the choice. Your poll is a bit stupid though, I don't know which is which... Is it "yes they shouldn't not be featured" or "yes they shouldn't be featured"?