As of the 9th of March, the banner shown to askers whose questions have attracted at least one duplicate close vote has a couple of new options:

If the author clicks the first button, they're shown a confirmation that clarifies the results of this action somewhat:

If they click "Ok", the question is instantly closed:

If, instead, they edit, they'll be offered this guidance:

...and once an edit is submitted the choice will go away until another duplicate close-vote is cast.

In just the past day, 80 questions network-wide have been closed in response to confirmation from the asker; edits by askers are up significantly as well.

We'll be monitoring the results to see if further adjustments are needed. A few open questions surrounding this change include:

Should askers be able to dismiss the banner without editing or confirming? Perhaps if the number of votes is below some threshold?

I'm posting this separately from the original feature-request to allow room for discussion and work around a bug with featured posts.