Sorry, Quantrill, I don't understand your argument. It stands to reason that the ones who need to be saved are the lost. If they weren't lost, they wouldn't need to be saved. Now, since the Bible concludes all human beings under the penalty of sin, then it follows that all must be lost, and, if so, all need to be saved.
All human beings are fallen and under the penalty of sin. But only those that are of God are the lost. Lost speaks to previous ownership. (Luke 15:6) (Luke 15:8) Note that the sheep was still a sheep though lost. ('I have found my sheep which was lost') And the coin would be found. ('till she find it')
Just because all need to be saved doesn't mean they are all lost. All are on the road to hell. But all are not lost.
Quantrill