The "Safety" excuse is bullshit. What safety problem could exist in a school that a child with a cell phone can solve? Fire? School administrators will call the fire department. Intruder? School administrators will call the police. School shooter? Same. There's nothing that a child with a cell phone will fix.
It probably is bullshit, but everything you've written is a straw man. A phone is useful for the kid on their journey to or from school, which by secondary level I would hope is on their own. Even just, "I'm going to Steve's, I'll be late for dinner".
But it doesn't need to be a smartphone for that, and it doesn't need to be out during school hours.