Yes, we are born with a sinful nature, but the knowledge of that sin is not in an infant. God doesn’t assign an unbaptized infant to hell just because your church says so. He says to suffer the little children to come unto HIM. That doesn’t sound like he’s ready to throw them into hell to me.
Respectfully.
Whether we have knowledge of that sin or not is not relevant. If we are sinful, we are sinful, period. We don’t have to be conscious of our sin to have committed it, do you agree? If an infant is not “sinful” at what point do they become sinful...1, 2, 3, 5, 6, 7, 8? By that theory we make ourselves sinful at some point by becoming “aware” of our sin which I dare say sounds quite like an eastern orient religion type thought. Read Paul and then tell me what his perspective is on our sinful nature. He’s quite clear and it’s not pretty for us.
Secondly. I NEVER said that God throws an unbaptized infant into hell (because my church says so - which is so far from the truth - FYI I’m not RCC by the way which I assume you think I am). We have no doctrine on the souls of the unbaptized infants because we do not know, it is God’s will what happens with the unbaptized infant (and frankly all souls). I pray that God’s mercy will be given to all unbaptized infants, but since I don’t have a pipeline to God’s mind I can’t say one way or the other - Can you?