Musing a bit - feel free to ignore.
I do think part of all this is that, as a society, we have become so much more divorced from death. When my grandma was young, most people died at home. They were laid out by relatives. The body was placed in the front parlour, for people to come pay their respects. Wakes were often open casket.
Not all that long before that...well, go look round a graveyard. All the gravestones of adults, with added on the lists of their children who died in infancy.
We are lucky as a society that the natural course of events for a baby is to become an adult. That was not always the case. But...for the tragic minority where sanitation, and immunisation, and nutrition, and all the advances in medical science, cannot save them, I think the trauma is even greater, as it is an isolating near-taboo experience, rather than what used to be a terrible bond between so many parents. And because the death of a child has, thank goodness, become so much rarer for us, I get the impression that quite a lot of people live in denial that it can ever happen, because that is so much more comfortable. That "only happens" in poorer countries, or to children from poor areas, or if you did something wrong. Which is clearly bollocks. But if you can believe that children of people like you can never die, as long as you just fight hard enough...then that means your child is safe.
I am so grateful to live now, not earlier in history, for so many reasons. Partly because I would definitely have died as a child. But also because I hate children dying. But doctors are not playing god. If we are to use those terms, god plays god, and we're just desperately trying to alter the odds.