She appears to have the skills so doesn't need an OT

Seems to me these are all expressions of love and care, maybe the issue is she is not feeling those things at school so needs the teacher to perform acts that remind her of being mothered. If so it may help for her to have something that she can carry that reminds her of home and helps her internalise that relationship.

I don't think this is something to worry about though, children need to learn how to become independent beings less emotionally dependent on their parents but do so in different ways. The real problem is the teacher expecting children to be one size/path fits all.