WOW HOLY CRAP THAT WAS AMAZING. I feel like I could write an entire book's worth of essays on all the themes you covered in here: all of the hypocrisies, the dualities and mirroring (the build-up to the hangings at the end gave me chills), the way the men depend the women to give them something they can't be responsible for. And the song! I honestly thought the title was going to refer to the episode, so that's another duality that was skillfully done.

TL;DR - wonderful job!