Did Aristides Believe In Original Sin?

Some Protestants have cited the following from Aristides, a 2nd century Christian, against the doctrine of Original Sin. 

And when a child has been born to one of them, they give thanks to God; and if moreover it happen to die in childhood, they give thanks to God the more, as for one who has passed through the world without sins.

Does this show that Aristides taught children (some translations have "infancy" instead of "childhood", while other translations, like the Syriac, doesn't have it at all!) don't have original sin? Not at all, and to think that it does is to read it into the text. So, the Protestant wants to say that if a child dies in infancy, then he dies without sin. And he can only die without sin if he has no Original Sin. This is not true. Catholics believe in Original Sin and we also believe that infants can die without sin. How? Through baptism. An infant who is baptized can pass through this world without sin. It isn't true that the only way infants can die without sin is if they have no Original Sin. That's reading into the text. A protestant may object that one cannot baptize infants, but then if he claims that, he has removed the conversation from Aristides, which is all I'm trying to do here. He simply can't claim Aristides for help.