The advantage of private medicine for children is that they can quickly get to a pediatrician / home visit or Tele & VideoMed. 
Maternity passport examinations, MRIs, medication, medical aids.

To delegate costs for this to the private elective doctor tariff. 

If you also have a tariff for special classes in the hospital, the costs for an accompanying person will also be covered in addition to the costs for inpatient medicine.