I’m going to take a stab at accomplishing this feature. (There are a few other discussions of this, most notably here.)
I made a mockup similar to the initial one from @riking:
From a first look at the endpoints, I see that /draft.json is used to load, post (update) and delete an individual draft, but I didn’t find anything that loads multiple drafts. As part of the PR, I would add a new endpoint at /drafts.json that would retrieve the full list of the user’s drafts, and then display that list on the tab in the user’s profile.