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The screens are looking for things like acuity and color blindness. They are not addressing vision as a whole at all - which is what the developmental evaluation does. These are 2 different things. If the screens at school were performed by a D.O., then yes. However, the screens performed here in schools and even doctor offices (and most eye places) do not screen for these particular issues.
Agreed. I took the OP's statement of "vision assessment" to be exactly that, not a "developmental evaluation".

The in-school vision screenings I'm familiar with are a close match with what's described by Prevent Blindness America - children's vision screenings. While they may not catch every problem, they've helped many students and families by flagging children who needed or would benefit from additional vision assessment.