No matter how you choose to look at it, you are saying your treat their illnesses with EVOO. That is you "medicating" them.
I would say that is a treatment, not medicating. Tylenol (which is probably far more dangerous) *is* medicating. Is it wrong to give a dose of tylenol for a fever or use sweet oil for an earache or have a child gargle salt water for a sore throat without consulting a doctor? No. So why should someone be called out/attacked for the equivalent? Imho it really doesn't belong on a soap forum in the first place, but tolerance of differing opinions and beliefs belong everywhere.