It is his essay, not your essay. It is his recounting of his experience, not yours. I would say that, as a parent, even if you were right. However, you are wrong.
It seems that you have the wrong idea about the purpose of the essay. It is not a place for an applicant to talk about all the great stuff they did. That is on the common ap, and in the letters of recommendation. The point of the essay is to show the aspects of himself which aren’t on his application or on his main essay.