One more answer and I'm done. Firstly, Spurgeon was a far better man than either you or I. He is, as I said, in line with the various confessions. 'Infants dying in infancy are regenerated and saved by Christ through the Spirit (John 3:3-6), who works when, where and how He pleases (John 3:8). So also are all elect persons who are incapable of being outwardly called by the ministry of the Word..' Secondly, the Bible clearly teaches that we are born sinners. The fact that newborn infants have not yet had the opportunity to sin does not affect that.then the verses in the OP that clearly show that there is a time in the life of the infant, which is only known to God, that they are not "sinners", as they have not "committed" any sin. This is the case with the son of David, which the Bible says went to heaven after his death, where David joined him after his death. Verses like Romans 3:23 have no bearing on this, because this verse speaks of people who are "sinners", but those like David's son, are clearly not. There is no other way that David's son could be in heaven. The speculation of Spurgeon, is no more than just that.
This is clearly observable in small children.. you have to teach an infant everything: how to be clean, how to walk, how to talk, how to hold a knife and/or fork and so forth. But the one thing you do not have to teach an infant is how to sin. No one has to tell a small child. "Now Johnny, this is how to be selfish. You keep all your toys to yourself and don't let your sister play with them." Or, "Now then, Jenny, here's how to tell a lie; you think of something that isn't true and say it as if it is." No! Children come naturally to these things without any instruction, because they have sinful natures. Parents can instill some sort of right behaviour in them, but that sinful, selfish nature is right there inside.
So, if children dying in infancy are saved, and you may be right to point to 2 Samuel 12:23 to suggest that they are, it will be God who saves them by His grace and mercy alone, not they themselves by their purity, for they have none.
Every one of the Great Crowd of Revelation 7, standing around the throne dressed in white, including the saved infants, is saying the same thing: "Salvation belongs to our God who sits upon the throne, and to the Lamb." God owes salvation to no one.
"Not to us, O LORD, not unto us, but to Your name give glory, because of Your mercy, because of Your truth" (Psalms 115:1).