Students here are not allowed to carry their inhalers, either, which makes no sense. The purpose of a rescue inhaler is to have it on hand immediately when you need it. Not have to walk to the nurse's office when you already can't breathe to get one.
After school mode? You are a teacher always, especially when you are in the building. And I don't care if you are a teacher or a janitor, if a kid is struggling for breath, you get the kid some help.
My son is in fourth grade and he is allowed to keep his inhaler with him at school. I didn't even have to ask, the nurse let me know when I took it to her office. I just had to sign a form that listed the brand and dosage.
Are these policies made by individual districts or do state laws vary or does our school care more about it's kids ?