As a medical manager I can comment slightly on this. As absurd as it sounds they may be right to not put antiseptic on wounds. I'll explain:
If they do not have a proper anaphylaxis kit and the necessary qualifications to use it they cannot even administer an asprin! Crazy I know but once they give them the pill to swallow or put a cream on their skin they are responsible for what happens after that. Anaphylaxis can kill in minutes which means the risk from an ambulance being delayed etc is too high to take.
To note as well; to be competant in administering anaphylaxis (alergic reaction) procedures you have to be able to administer a 1/1000mg shot of adrenaline into the vein and be able to perform a Tracheotomy. Having trained to do the latter it aint as easy as in the films, you can so easily cut the jugular if you get it wrong! CPR is only effective if you can open up the throat post allergic reaction otherwise you may as well rush them to Emergency.
In short, a school being able to afford someone sufficently qualified is very remote!
Just my 2p