Yup.
ALTHOUGH... there are instances in which "detailed" means different things to different people. Protocol exists for a reason, and providing "wiggle room" isn't it.
KWIM?
I'd also add that one other common mistake that I see parents make, over the years?
ONLY thinking about their child as a Kindergarten student (or whatever grade it happens to be).
Your ideal should be a plan that fosters GROWTH in management, and awareness, as appropriate for that individual child. Yes, your 5yo will need more interventions/accommodations than s/he will at 16. That's to be expected. But be aware of what that developmental arc is likely to look like-- and plan for it.
This means that self-carrying is in play sometime in elementary-- because there are still teachers and aides to offer coaching/reminders at that age, and get it to a state of automaticity by the time middle school rolls around.
Understand and convey to both physician and school staffers that YES, you do understand that at the end of this arc, your child will have ownership and management of his/her allergy in the "real world." THIS is about laying the proper foundation for that transition-- and making sure that it happens safely and in a way that is healthy and positive FOR YOUR INDIVIDUAL CHILD.
That arc isn't the same for all children, and they have different needs for scaffolding/supports for that reason. This is the crux of why a nursing document or a school policy, no matter how thorough or well-intended, is entirely inadequate as an individual plan, IMHO.