Being born with a sin nature is most decidedly not the same thing as being born a sinner.
If a child is born a sinner and dies at birth, then that child is condemned to a Hell he never had an opportunity to earn though sinful nature. I remian unsure of the version of Scripture you read, DHK, but every version I have read prtrays the Everlasting as a God of vast mercy and undefatigable grace.
The sin nature, on the other hand, is a kind of spiritual DNA code that promises we will sin, boldly and with knowledge thereto. Thus a child born with a sin nature, who dies at birth, is not laible for sins he never committed.
Since it is a spiritual fact that the sin nature is passed through the male, Jesus being born of a virgin removed the sin nature from Him. Was He tempted to sin? Yes. Could He have sinned? Most certainly.But "He that knew no sin became sin," and certianly to have had his spiritual DNA coded with the sin nature would have negated this most important truth of the Gospel.