Great review! I have been wanting to revisit this episode for some time now. It was a favourite of mine back in the day, but I do not own a copy and so haven't seen it in years.

I am in the camp that finds the sixth season a little less enjoyable but this episode is definitely an exception. I really agree with what you said about the Brains finding genuinely funny, clever ways to critique the sexism in the film without becoming too snarky. I also agree that some of the violence in this season does seem especially random.