Total depravity means the entire absence of holiness, not the highest intensity of sin. A totally depraved man is not as bad as he can be, but he has no holiness, that is, no supreme love of God
That some unevangelized men are saved, in the present life, by an extraordinary exercise of redeeming grace in Christ, has been the hope and belief of Christendom. It was the hope and belief of the elder Calvinists, as of the later.