Lets have an analogy,
If you witnessed a car crash, and a Kid was badly injured and bleeding, would you let him die, knowing that everything would be alright in the end? Or would you try to save him?
I think thats basically everyone on deist's side of the argument perceives a mono-theistic god.
Let's imagine a scenario.... God let everyone do whatever they wanted eternally -and nobody ever died.
Some think that would be awesome -but some want to do really bad things, and eternity would be miserable.
Saving the life of the body of the child is only one consideration.
If you knew the future of the child would be horrific because of the choices of other children who also become adults, even you might think death was a better option -but that might motivate you to change the child's future.
So -saving a life involves making circumstances right -not simply keeping a body alive.
God will make all circumstances right -and save every aspect of a life. His responsibility -since he created creators and set all of this in motion -is to save every life.
Death has a purpose -and it is toward saving lives. Part of saving us all is limiting our present lives.
Why would you want the child to live? Is life worth living? What makes life worth living and not worth living?
Was creating a child worthwhile -or should God have made robots which did not have accidents?
Why did the child get into an accident? Can you teach a child to prevent all accidents? Can God prevent all accidents?
If you say God should save the child -think about the best possible future for that child.
God has essentially already saved the child.
God will give the child a body which does not decay -is not subject to to the environment, but will cause the environment to be subject to the child.
God will not simply save the human body, but give the human a body which will allow it to have power over cosmic events -to create worlds.
Php 3:21 Who shall change our vile body, that it may be fashioned like unto his glorious body, according to the working whereby he is able even to subdue all things unto himself.
However.... God must first bring the person within the body to a point of responsibility -and do so for all children.
An invulnerable body would not prevent spiritual misery. A mind must be made perfect to inhabit a perfect body -and this could not be done before initial awareness -as it requires the awareness and participation of the individual.
Our bodies are temporary so our exposure to the results of inexperience can be limited and temporary -and all of the dead children will be made alive again later.
If you -knowing the immediate future of the child would be horrific -had the power to suspend that life -and make the child alive again when you were certain the future of the child would be wonderful.... would you suspend the child's life for a year? A hundred years? A thousand?
If you knew making the future of every child perfect meant allowing every child to temporarily make mistakes which would hurt them and each other -would you allow it -or would you consider the idea of children to not be worthwhile -and skip it altogether?
If we assume there is no God -and we have children -is it a responsible action? Are we not then to blame?
Why would we bring a child into this world?
Assuming we could manipulate our lifespans, why wouldn't we make the world perfect before we have children? How could we explain to our children how to do the same?