" 'Thou shalt not kill' but need not strive, officiously, to keep alive"
The old midwives certainly didn't strive; they'd, ahem, 'allow' a baby to die.
I've a friend whose child is now in his early twenties. He was diagnosed with a fatal, debilitating, gradual disease at six. He now is unable to breath for long without an oxygen supply, cannot move any part of his body save the ends of his fingers,speaks in a barely audible whisper, if at all, and communicates by a specially arranged computer. Without help, he would quickly die. She has, more than once, been asked on a relapse whether he should be allowed to die, to which her response has been "Ask him!"
Now, the children we are talking about are not in that position. Whether it be termed euthanasia , by action, or 'not stopping immediate dying', seems to me to be academic in their circumstances.