If Alice is a Narc, everything her child does reflects on her. She does not see them as autonomous individuals, they are her property. So if Elsie needs help with learning, in Alice's eyes this will reflect badly on her, as everything has got to be about Alice. She wants to be seen as the smartest person in the room, so her attitude to Elsie does not surprise me.
I agree with Veevee, little E may benefit from a dyslexia assessment. An eye assessment for Irlens syndrome should also be done, but not all dyslexics have this. My son has dyslexia, but not irlens syndrome. He is fine reading against a white background.
Also, my state school educated dyslexic son is scoring very high grades accross the whole curriculum, and even though he is only 12 he has a reading age of 16 years 9 months. Dyslexia does not mean the child is stupid , lazy or less able. He struggles with handwriting and processing speed, so he will qualify for additional time in exams and use of laptop. We have really landed on our feet with his school, it has a very strict behaviour policy so disruption in the classroom is clamped down on hard, this means my son can concentrate. Also, they teach every student in the same way, which is a dyslexia- friendly way of teaching, universally successful for neuro-typical and neuro-diverse. Alice should let the school put the additional support in, get Elsie assessed and then watch her fly.