Originally I thought the DFA documentary would end up on sale on Steam and on Netflix simply due to how well it fits in both of these services and the amount of work put into making it, so hearing about a possible public release for free was a bit of a surprise, but I think it's a pretty good idea to release it. A lot of people are in the dark on game/software development because there really hasn't been an in-depth documentary of the production process of any game (or software), and younger gamers who aren't a part of the industry or have jobs that require team effort and deadlines may not understand the difficulties and resources required to accomplish such a task. At most, other documentaries on game development include short interviews and maybe some clips of games being worked on, but none approach the depth and extensiveness that the DFA documentary (20 episodes!) covers and having the documentary available for free online would certainly provide a wealth of resources not only to gamers who are interested in the development of Broken Age but also new developers who are unsure how studios handle game development. I actually felt like wanting to work at Double Fine as I watched the videos.
The documentary release would certainly be welcome and a boon to the community but as to whether it will change the perspective of those who saw Broken Age development in a negative light can be fairly unknown (after all interpretation depends on the person who sees it), but even if it doesn't change the views of naysayers they can't deny the amount of wealth the documentary offers. A crucial part would be to link back to the Kickstarter pitch to remind people what the Double Fine Adventure was about: the game and the documentary. It feels like people frequently forget that the Kickstarter campaign additionally had a documentary and watching it again would remind them of this aspect. Additionally it would also let those who never knew about the Kickstarter understand that as well. Maybe a video that linked all of the videos released during the Kickstarter (meeting the goal, surpassing it, Ron Gilbert and Tim Schafer discussion) can serve as a prologue.
I think the best approach would be to do a formal poll by sending out an email to backers via Kickstarter and asking a simple Yes or No question along with the method for releasing it (Youtube, Steam, etc. and what quality). Those who participate in the forums frequently are no doubt ardent supporters of Broken Age, but maybe not everyone else shares the same feelings as those in the thread. If it were to be released, I think a mini-campaign for it would be necessary so people would know the documentary exists for free publicly (such as simultaneous release with Part 2 or having it available a week after release, etc.).
All in all, I'm in favor for a public release.