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the mental burden of a sick child is now alleviated.

I didn't specifically mention peace of mind but that is part of what I was thinking about with item 3.

the overall objective of trying to keep people alive. And what that does for humans to take on more risks.

You're describing a moral hazard of expanded medical services and the implication is that the increase in risky behavior fully cancels out the gains in life-saving, which seems implausible to me unless the life-saving is very minimal.