Watch the video here: http://www.internetmarketingninjas.com/blog/search-engine-optimization/speed-up-the-disavow-process/
When you get hit by Google Penguin or Google Manual Penalty, you need to go through the process of backlink analysis, backlink removal, Disavow and reconsideration request (The latter is only needed for manual penalty). Jim Boykin and Ann Smarty are discussing one step in the process: Disavow, how it works and if there's any way to speed it up.
Google representative John Muller said that it is recommended to use Domain Directive as much as possible, so instead of using URLs, you should be disavowing the whole domain when it's possible. This statement was probably taken out of context because Google works with your Disavow document a bit differently.