Does this recommendation sound like a child should/could get occupational therapy or adaptive P.E.?

As far as I know, unless her dysfunction affects her performance in school, then the school system is not required to provide her with any services. I think as a parent you can request an OT screen, where the OT can come and see if your child would benefit from OT services. I am an OT, but I don't have any experience in the school systems, so what I am telling you is what I remember from school. If she doesn't qualify for OT at school, that doesn't mean she does not need OT, she may still benefit from OT from a private therapist. I know several people who receive private OT because their child did not qualify for services at school or the services they did receive was not enough.