But as even sinless babies can die, the wage must be referring to the second death
Babies - offspring of Adam have inherited his guilt from the first sin.
Romans 5:12 Therefore, just as through one man sin entered the world, and death through sin, and thus death spread to all men, because all sinned—
13 (For until the law sin was in the world, but sin is not imputed when there is no law.
14 Nevertheless death reigned from Adam to Moses, even over those who had not sinned according to the likeness of the transgression of Adam, who is a type of Him who was to come.
Verse 12 - as by one man—Adam.
sin—considered here in its guilt, criminality, penal desert.
entered into the world, and death by sin—as the penalty of sin.
and so death passed upon all men, for that "all sinned," that is, in that one man's first sin.
Thus death reaches every individual of the human family, as the penalty due to himself.
Verses 13-14 So death, this huge abyss separating us from God, dominated the landscape from Adam to Moses. Even those who didn’t sin precisely as Adam did by disobeying a specific command of God still had to experience this termination of life, this separation from God. But Adam, who got us into this, also points ahead to the One who will get us out of it.
The same way Adam infected all his posterity with guilt and death
Jesus (the second Adam) wins salvation and pardon for all those who are his.
If you want to reject the imputation of Adam's sin to his posterity
then you also have to reject the imputation of Jesus' righteousness to His people.
Everybody dies, gets sick, and all the other bad stuff because we are
in Adam. He is our representative.
Everybody (in Christ) has His righteousness imputed to them and they are declared not guilty.
But as long as we remain in these flesh an blood bodies, we still suffer the effects of the fall.
Col 1:13 He has delivered us from the power of darkness and conveyed us into the kingdom of the Son of His love,
Col 1:14 in whom we have redemption through His blood, the forgiveness of sins.