Sentence 1
Many more people in poor areas have eye problems.
Sentence 2
I have many more books than she does.
I have a feeling that
Sentence 1 “many more” focuses on “many”, meaning a lot of people have eye problems.
Sentence 2 “many more” focuses on “more”, meaning I have far more books than she does.
In sentence 1 more modifies many, and in sentence 2 many modifies more.
Is that so?