Yes, to the extent that man is in communion with and subjugated to God, his moral integrity is greater. There is no such thing as a “sinful nature”; there’s only man with God, and man without God. “Apart from Me you can do nothing”, Jesus tells us in John 15:5.
When Adam separated himself from God by his act of disobedience, he removed himself from God’s authority, and therefore God’s control. By attempting to gain even more control over himself, Adam actually forfeited it, and the flesh began to war against the spirit; internal division and disharmony would reign. Only in partnership with God does man attain his full perfection.