Why would God allow infants to suffer?
Maybe God doesn't see it like us.
If there is a god, she might see time quite differently than a mortal. She might be calculating not just local impact, but how its ripples change and affect suffering over multiple time frames. If there is a god, they might see death as returning and not leaving. If there is a god, we might not have complete control. If there is a god, he might not share our aversion to suffering.