Comment by zelphirkalt

How about just saying in hindsight: "Hey, we were wrong! [Yes, it's possible! The allmighty Google can be wrong! Newsflash!] We are sorry, these things happen with our automated systems. Person XYZ is completely not guilty of our accusations and we will revert all actions taken from our side. It is in the nature of things, that these cases are difficult to distinguish, without information about the child as well as the parent and we need to stay vigilant about pictures of children being uploaded to our services. Please accept our apologies."

Instead of going: "Nooo! We were still right! We don't care what others say or what facts were found out!"

So I am thinking you are painting the scenario a bit wrong here, saying, that there are only 2 options. An honest apology and actions to make up for ones mistakes can go a long way. Of course I would not expect Google to act that way.