From the time, you finish your breakfast and leave the hamlet to start the trek, until the time you return back to the same spot or to any other rest house; you are always at a risk of injury, threat to your life, or at least in a situation of SOS.
I have trekked at high altitudes in India and Nepal with my children, aged 4½, and 8 ½ year olds. They did not take a piggyback to the base camps but trekked at 9000, 13000 and 19000 ft altitudes themselves along with us and other trekkers en-routes. Taking such small children at high altitudes were extremely risky and against the views of most trekkers and even our family elders.
We do love our children and we are concerned about their safety. It is only a good planning and a careful strategy each time you start your trek which keeps you safe and accident free.