Mankind is desperately wicked, but they are not totally depraved as some would say. If someone were totally deprave, they would not have even a smidgen of caring for anyone.
We were made in the image of God and have many of the inklings of morality and love, even though they have been perverted by the fall of man; they are not completely absent.
Mankind knows right from wrong often, even doing the right things at times. The difference between the believer and the non-believer is that the believer knows how to interpret that sense of right from wrong with the mind of Christ, and the unbeliever relies on themselves to understand.
I have known unsaved people who were deeply loving toward their children, caring about what happens to them. A totally depraved person wouldn't have even a smidge of love for anyone.
I do not believe God made us "totally depraved" without the ability to make choices for good or for evil. He gave us the knowledge of what is good and what is evil; it is our choices about those things that tell us about ourselves.
Genesis 2:17 "But from the tree of the knowledge of good and evil you shall not eat, for on the day that you eat from it you will certainly die.”
Before the first couple ate from the tree forbidden to them, they did not know evil. After they partook, they then saw the difference between good and evil, they knew both, and were then required to choose. Mankind chose disobedience to God in the garden, but through the knowledge of Christ can choose Him instead of their own way.
It would make no sense to send someone to hell who didn't know he was sinful. Every human being knows about themselves, but makes a choice to go their own way or to trust in Christ to be changed by Him into a new creation.
We cannot change ourselves, but we can choose who we wish to follow and desire to be changed by Christ.