You shared that man is condemned by his own sin. Let us consider two men born into this world: one is elect and the other reprobate. Both are born into sin, they both have inherited Adam's sinful nature as the Bible tells us that through the offence of one man, death reigned over the whole human race.
Rom 5:14 Nevertheless death reigned from Adam to Moses, even over them that had not sinned after the similitude of Adam's transgression, who is the figure of him that was to come.
Rom 3:18 He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.
Both of these men stand condemned because of their sin and deserve punishment in Hell and separation from God. But at this point, the men are not in equal in blessing. Because you will probably say that God will only now work with the man who is elect to irresistibly draw him to accept salvation in Jesus Christ.
Let us consider that neither man has accepted the saving work of Jesus on the cross for their behalf. Of course by your views, the reprobate man might as well eat, drink and be merry, because he is dead as he stands on his feet. His eternal fate is already sealed he is reprobate and apparently darned happy that he is.
Consider that suddenly both men are hit by a metro bus prior to either of them accepting Jesus. What happens now? Or are you going to say that the metro will amazingly swerve and only take out the reprobate. The elect will be spared this tragedy, for after all, he is elect and he will be eventually wooed by the Spirit of God to salvation. The Holy Spirit apparently knows not to woo the reprobate because God knows in advance that they will not be affected by His irresistible grace and drawing.
I read in God's word that Jesus died for sinners:
1 Timothy 1:15 This is a faithful saying, and worthy of all acceptation, that Christ Jesus came into the world to save sinners; of whom I am chief.
All men are sinners but will you say that only the elect need to be saved? If the reprobate cannot be saved then what purpose does their life serve beyond bringing God glory by accepting their fate as poor doomed from birth creatures that they are. The reprobate might as well commit suicide and await his final judgement so that the books will be empty of the sins that he would have piled on with no hope of ever being reconciled to God.
2 Cor 5
19 To wit, that God was in Christ, reconciling the world unto himself, not imputing their trespasses unto them; and hath committed unto us the word of reconciliation. 20 Now then we are ambassadors for Christ, as though God did beseech you by us: we pray you in Christ's stead, be ye reconciled to God. 21 For he hath made him to be sin for us, who knew no sin; that we might be made the righteousness of God in him.
Will you say that the world in verse 19 above is only the elect? Then apparently our ministry of reconciliation must also only be to the elect. Surely the call to be reconciled to God, brought back into proper relationship with Him is made to all men. Then if they reject or ignore it, they now must bear their sin and be answerable to God for it and rightly so. But if they are the elect to reprobation and damnation, it is better if they had never lived.