Instead it's a whole film about some stronk wamen dike babying a literal retard, and getting offended that the royal brothel she voluntarily applied to work for expects her to cook and clean. The movie actually stops so she can give a speech about how she wants to learn a trade like a man, and all I thought was "then why the fuck did you apply to become the emporer's concubine dipshit?" Spoiler: the mononoke was also a dike who committed suicide because she fired her roommate for being a fuckup, but later realized she loved her or something and became depressed idfk. And of course the stronk wamen MC becomes the boss of the emporer's entire brothel after literally 4 days on the job because she's just that stronk.
I feel like you may wanna watch the movie real slow again, instead of being a "Florida man".
Anime itself is Mononoke (vengeful spirit), not Kusuriuri (medicine seller). So I don't agree on Mad Max comparison. Beside whole incident is in women area of the regional Lord palace. It isn't like kusuriuri himself can be main story telling perspective or being that active in first half of story. As you said, it's only first part of trilogy, there are still more things not explain in that weird place. The whole shrine, the well and maybe more inner palace politics.
You may lay off culture war or whatever Western internet thinking. Just because two people of the same sex hold dear to each other, that doesn't mean they are gay to each other. And "stronk women". Apparently it's really that unrealistic for women to pursue a proper occupation. If somehow Asa can write, read and put way more effort in her job than other maid not convincing enough in era where being literate is a minority. Try watching again around 29 minutes in, head maid Utayama compliments Asa not being an ordinary new - un experience maid.
Also, entire movie repeats a few times, everyone at Ooku is preparing for the Birth Celebratory Ceremony. New women (with proper pass) go there starting as servants first. Beautiful ones manage to caught attention of the Lord, then they likely go up their rank to concubine. Having some form of royal connection will make it easier. Others with less so beauty prove their talent and become head maids instead. For sake of simplicity, anime already has the Lord having eight concubines already (three in the movie) and not so much looking for new one.
I'm not sure why you'd even complaining about Asa wanting to be a scribe - head maid instead of concubine, literally 20 minutes in and at 33 minute in the movie. Movie length is 1 hour 30. I guess you don't really want any explanation for Asa motivation either or slowly teasing about Kitagawa.
The rest of movie is literally just jealousy between head maids, finding out secrets in Ooku and the slow ramping up of Mononoke due to how much Asa is almost walking in the same path of old scribe lady Kitagawa. Sacrificing friendship or "human compassion" for work.
I can give you with maybe the story being kinda lenient on Kame (womanchild) not cutting out to work in Ooku and monster fight is being try hard flashy.