It also matters what KIND of health care kids get. Would Jesus advocate injecting mercury, fetal cells, aluminum, and all kinds of other mainstream medical quackery? I've had MDs prescribe statins to lower cholesterol, which caused horrible muscle pains, which they then dismissed as "psychosomatic" -- until I brought them articles confirming, at which point they relented and suggested red yeast rice. 
I'd prefer to teach kids proper nutrition and focus on natural healing techniques they can access on their own, without a prescription written by a high-priced salesman for Big Pharma. In the case cited supporting the need for an in-school clinic, sinusitis, an MD would have probably first given an antibiotic, which destroyed gut flora. I do support free health care for all, but not an allopathic monopoly.
http://www.washingtontimes.com/news/2017/may/5/charles-krauthammer-predicts-us-will-have-single-p/