I would appreciate if that small print was on my form.
If i followed that philosophy, i would never let my kids out of my sight. I am not up for homeschooling, and so i do have to have a certain amount of trust in the care providers, but i'm not up for giving a blanket consent.
Ok, I must be naive, uneducated, ignorant (or maybe all 3) but I cannot understand what type of medical treatment you think they are going to seek if you sign the form. Even without the small print on ours, I would take it as what they need to do in an emergency, if my child was hurt or sudden onset of illness.

all the daycare centres, kindy program,schools I have ever had anything to do with are there to educate and/or care children in a caring and nurturing and safe environment. It is not their aim, nor do they have the resources to go and seek unwarranted medical treatments.