Their viewpoint is conflict.
I re-read the story and feel awkward in the Fox family but I understand the plot.
Perhaps I am also an Asian, so knew very well the conflict in one family and felt it was normal.
Both Kinu feel a degree of dislike toward either Kiyoko or Komari because they feel the latter oppress them. (And the Asian way to express their dislikes is indifference toward their target)
It's right to some degree but because the parents have no choice but to groom a proper successor for the Otomo family.
Kiyoko values human relationships and how to exercise political ability while Komari worships god and the fertile land.
When your daughter/future head shows the ability that suits their taste or shows the demerit with they dislike.
That's how their awkward relationship comes in.
-----Komari is loyal to Kiyoko but more than a hundred years have passed, and Komari who suffered and faced numerous hardships would have different opinions.
Komari may think about the family serving Kinu to help the Shoujo demerit as the goddess of fertility while Kiyoko doesn't care about god or otherworldly power and pursues versatility over rigidness
*Shoujo fears her mother and doesn't want to be like her, Hime feels the "old-hags" annoying and ineffective.
They feel that adults oppress them and show dislike
**Well, this is my opinion from my experience.