Doctors cannot force you to accept treatment for yourself or your children, but what they CAN do is to report the refusal of treatment to CPS.
This is usually only done in cases where refusing treatment will result in death or permanent injury.
This is done both to protect children AND to protect the doctor.
Medical Malpractice.
I hear 'ear infection' and I think of the common ear infection. Common worst case scenario = ruptured ear drum and minimal loss of hearing. No big deal in the medical world, and no doctor I know would report someone for it. It's regrettable, but not something that requires seeking outside intervention.
But there are many other types of infection of the ear, including inner ear / cochlea, abscesses, bone infection, etc. that if left untreated will most likely cause permanent hearing loss or profound deafness of one or both ears... and some infections have a high probability of going blood born, causing sepsis or brain infection... both of which do the pesky risk of death thing.
If this is a case where the doctor believes that not treating the infection could result in the deafness or death of your child... he is morally and legally obligated to report it to children's services. AS ARE any adults in medicine, law enforcement, schools, etc (aka mandated reporters), if they believe that not seeking medical attention is putting your child's health/life at risk.
These cases rarely make the news, because in the *majority* of cases, the parents simply don't realize how serious the condition is, and once they understand how serious a condition is, do a 180 and are active and willing participants in their child's care.
A minority of parents fight the courts on medical treatments, and their children end up in 'medical foster homes' (these are usually kids who need round the clock care, aka 2 nursing shifts and 1 parent shift), or as wards of the state and the parents are compelled to allow treatment.
An even smaller minority, the doctor is proven to be wrong.
And the smallest minority at all, the parents' wishes are honored by the courts and the child is allowed to suffer permanant injury or to die. ((These are the cases that make the news.))
I don't have the stats, but as a GENERAL IDEA (from growing up in a medical family and working in/ going to school in medical field, aka again, I can't highlight enough I haven't gone and looked up stats, but as a general feel for the numbers):
about 95% parents didn't realize how serious the problem was
about 3% the child goes into a medical foster home
about 1% the doctor was wrong about the treatment being necessary to life
about 0.###-###-####% the courts rule that the parents have the right to let their child die, even though a treatment is all but guaranteed (like an appendix that is going to rupture or already has... these are almost always religious cases).
Now... OF COURSE the doctor can be wrong. They usually aren't IF they're going to the extreme of reporting a parent for refusing necessary medical care. These cases are all reviewed by medical boards, and not having really stellar evidence backing up their decision is as damaging as a wrongful death suit.
PERSONALLY... IF I BELIEVED A DOCTOR TO BE WRONG...
I would seek a 2nd opinion, preferably from a specialist. That way, when CPS comes, or I'm in court I can simply and easily state that I believed them to be wrong, so I sought a 2nd opinion and these were the results.