First of all, I'd like to say that the video does an admirable job of laying out the basic issue. Keep in mind, those of us that are already aware of these issues in a number of games (especially Mario and Zelda), that this video is accessible to a large variety of audiences. I find the academic tone very refreshing, and look forward to that level of professionalism in the future.
I have just two qualms I hope to see addressed in Part 2. One of them is that the video did not in fact return to Super Princess Peach like it promised; again, I expect this to recur in the next video in the series. The other is more subtle, and has to do with the montage of classic video games that make use of the trope. One of the games shown was a short clip of Final Fantasy I, showing Garland having kidnapped Princess Sara -- the screen in question shows the player party (led by a Fighter) in the Temple of Fiends just before engaging Garland in conversation (which results in combat with him).
This is indeed an example of the trope -- Sara is "damseled" (a great word choice, incidentally, effectively communicating the idea that this is something _done_ to women) and the players must indeed save the princess. However, this is done as part of a much larger rhetorical argument. Final Fantasy I has you saving Princess Sara within the first 15 minutes of the game. After saving her, the opening credits play (as you cross North Bridge), and the main quest (to revive the Crystals) begins. Final Fantasy I puts forth the argument that this franchise is about a lot more than merely saving a princess -- only simple games (read: its main competition, Dragon Warrior) utilize a damsel in distress trope as their main plot device.
I find this usage of the damsel in distress trope to be a powerful acknowledgement of where the game industry was in 1987 when Final Fantasy was first released. It's a shame that more games did not move on from the trope, following the example set forth by Square over 25 years ago. For what it's worth, the Final Fantasy franchise pokes fun at this trope more times throughout the series -- most notably, the opening of Final Fantasy IX presents players with a princess that wants to be kidnapped, and has a very active role in the plot of the game -- though we see the world largely through Zidane's eyes, the events at hand usually have at least as much to do with Garnet as with him, until his plot arc picks up near the very end of the game.
Do these self-aware uses of the damsel trope as rhetorical argument that the Final Fantasy games have more to offer contain more meaning for having made use of the trope? I argue that they do. I'd love to hear Anita's thoughts on this more complicated use of the trope in a future video...