There is only one name by which men must saved. If men who never hear of the Lord can be saved, why bother with evangelism? Better yet, why did He have to die?
The answer to your question is YES, such a man is damned because the wrath of God abides on all sons of Adam. When Adam fell, we all fell (see Romans 5). We are dead in trespasses and sins the moment of our conception (Psalm 51:5), so all of us start damned. In Ephesians 2, Paul says we are “children of wrath.” Even so, in Romans 1 Paul teaches that all men are without excuse, so no man will be able to stand in judgment and claim he didn’t know. And we can be sure, the Lord doesn’t wink at sin. He declared to Moses that He would not “clear the guilty.” (see Exodus 34)
God is under no obligation to save any man or to ensure that all hear the good news of Jesus Christ. That a man ever hears of Jesus Christ and saving gospel is pure grace.
“For by grace you have been saved through faith. And this is not your own doing; it is the gift of God, 9 not a result of works, so that no one may boast. 10 For we are his workmanship, created in Christ Jesus for good works, which God prepared beforehand, that we should walk in them.” (Ephesians 2:8-10)
You are correct sir. If I recall correctly, there was a time in which EVERYONE knew the truth (Romans 1) but deliberately rejected it. What we see today, is simply the result of that rejection. When these people are evangelized, what do most of them do? They reject the truth, the same way their ancestors of long ago did. If ignorance is bliss, (and it is not) why preach the gospel? If they are not already lost sinners, why tell them the truth, and give them a chance to reject it, and THEN become lost sinners?