So you actually liked the characters?
I did, I'm not sure I can explain exactly why I liked/disliked these characters, but I'll try:
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Esmenet: From the very beginning, I found her to be quite likeable: she's a sympathetic character, she's clever, she's a survivor and always tries to make the most of her circumstances no matter what happens. And despite romantic relationships being far from something I tend to be invested on when reading (rather than the characters themselves), I liked hers and Achamian's, their whole dynamic and how she dealt with his worries about the Consult resurfacing (that "I was his morning" line gets me every time...). And in TAE, she's dealing with dire circumstances once more even if she's starting out in a position of power this time - I know some people think her POVs in TAE are boring, but I disagree. How can you not feel for her, having to deal with the collapse of the Empire and all of Kelmomas' machinations, her feelings over being overshadowed and overwhelmed by all the Dûnyain and half-Dûnyain in her extended family? It's no wonder she was unable to see anything was wrong with Kelmomas, she needed to believe he was a normal, loving boy so much just to have something to keep her sane in her increasingly insane life.
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Mimara: I think this is a character we're already supposed to feel some sympathy for going into TAE given her backstory. This was true for me, but I also found myself liking her as a character despite that. We get to see the contrast between her self-hatred, conflicting feelings for her mother and need to find something to define herself (via learning sorcery) and what she saw with the Judging Eye and how it affected the rest. And even if Bakker has said he deliberately picked specific character archetypes for his female characters (can't remember if it was just for PON, though), a female true prophet in this kind of setting is not something you'd expect, and is definitely a good addition.
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Serwë: I admit that, while I don't
dislike her, her character is not among my favourites either. I feel sorry for what she's endured in her backstory. I feel sad for her for the way she dies after being manipulated by Kellhus. Yet that's pretty much all there is, unlike with Esmenet and Mimara. Serwë doesn't feel that interesting as a character. (Why does it work for some and not for others? Maybe it's just a matter of opinion, different people will like different characters.)
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Istriya: Should I even count her? It's likely that we never meet the real Istriya in the series, but then again, the skin-spy was (mostly) behaving like she would have. Here I think that the "archetype" doesn't really go beyond that, but that might be because the character, skin-spy or not, doesn't get the same prominence in PON that Esmenet and Serwë do.
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Theliopa: I actually have her name as part of my username, but when reading TJE, I didn't like her much - can't really explain
why either. Then I started paying more attention to her appearances in TWLW and TGO (and what others thought of her), and realized she was not just an emotionless automation, there was more to her than that. Suddenly, I found myself really liking her, how she was the "Eärwa wiki" for Esmenet
et al., how she put this insane amount of work in her gowns and didn't care about what fashion dictated, how she kept watching Kelmomas and figuring out what he was up to while he had no clue, how she had give ruthless advice to Esmenet regarding Naree because an Empress can't show weakness. And then there was that whole situation with Inrilatas that is revealed only after his death, and not only did she leave tracks on the snow, she possibly mentioned he could read Maithanet's face to Esmenet as a means to get him killed (granted, this might be highly speculative on my part, but I got that feeling after rereading TAE). By the time she died in TGO, I was quite sad over it, and hated Kelmomas so much for getting away with all of it.
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Serwa: (You know what? I have a small criticism to make - it's not (just) that Bakker doesn't have many important female characters in this series, but most of them are related to Esmenet. It would have been nice if he had introduced some others at some point.) Like what happened with Thelli, I didn't care much for Serwa at first. I tended to agree with Mimara's view of her as cold and arrogant, and thought she was sort of boring in the same way as Kayûtas - Anasûrimbor Lite (just with sorcery in her case). I had this same opinion throughout TJE, TWLW and TGO, and it was only TUC that made me think "maybe there's more depth to this character than I thought". With the help of a reread, I realized there was indeed more to her character (like Thelli...but in a different way in Serwa's case). (TUC spoilers:)
There were genuine feelings there, even if faint and vestigial, romantic for Sorweel and familial affection for Kayûtas (it's more complicated in Moënghus' case). And she was fearless! Even before getting the qirri from Mimara, she went and fought the Horde despite being horribly burned, and kept going. Half-Dûnyain or not, that was impressive.
I'm not even going to go into any detail about Psatma Nannaferi, she, even more than Istriya, is practically an archetypal crone/mother character. Makes sense in the story, of course, but there's not much to add to that.
So I hope this comment made some sense. I might not be looking at these characters from a feminist perspective, but that was not the point anyway - this is how
I feel about them, and at the end of the day these are just the opinions of one person.

Sorry if it's not too detailed either, I often have a hard time articulating even to myself why precisely do I like or dislike character X, most of the time it's sort of instinctive.