A WebmasterWorld thread has one webmaster asking if he needs to submit two reconsideration requests to Google.
He asks because Google often requests you verify both the www and non-www version of your site to Google Webmaster Tools. Google also goes on record has treating the www and non-www version of your site differently.
Well, technically they can treat them differently, Google is smart enough to not treat them differently as well.
I doubt you need to submit dual reconsideration requests to Google. I doubt the majority of reconsideration requests that are submitted are done for both the www and non-www.
Do you think it is necessary to submit dual reconsideration requests?
Update: John Mueller of Google said on Google+ in response to this post, that there is no need to submit it for both the www and non-www versions.
Forum discussion at WebmasterWorld.