I think people just want to hate on this game. Ballara or whatever is the character in those vids and she's clearly quirky and will annoy some. The dialog of other characters is just fine, and the characters all have very unique personalities and things they are dealing with like internal conflicts. The writing is not amazing but it's good enough and I enjoy it. I'm not a fan of Ballara either but if you do her side quest you see there is quite a bit of depth to her too and she's dealing with a lot of guilt, makes her character quite insecure.
I think some people are using the "bad writing" angle to mask actually hating this game for its attempt to be wholesome and have a more inclusive tone. Like they see the gender stuff, and then try to spin it as though the whole game was sacrificed for the sake of the "agenda", and use the "bad writing" angle to dunk in it.
The writing doesn't try to be controversial, and the hero is written as overall a good guy. Outside of that the writing explores the characters inner conflicts and dilemmas, traumas, inner values, etc. If you were hoping to be a sarcastic jerk to everyone and pin side characters against each other this ain't that type of game (not that there is anything wrong with that).
My point is for people in the fence, don't let this politics BS prevent you from enjoying a really polished and fun experience.