You quoting Albert Barnes a very mild Calvinist, is the very reason that I'm not a Calvinist, in the sense in which Calvinism is called. Please note above what I posted:
I do not consider Albert Barnes one of my peers, I have attempted to read behind him many years ago, yet he was as dry as crackers without some form of liquid! You quoting him proved my point above.
Nope all that was proven is you don't like Barne's
Note I also quoted A.T. Robertson another Calvinist
To this end (εἰς τουτο [eis touto]). The godliness (εὐσεβεια [eusebeia]) of verse 8. See 2 Cor. 6:10 as Paul’s own commentary. We labour (κοπιωμεν [kopiōmen], Col. 1:29) and strive (και ἀγωνιζομεθα [kai agōnizometha], Col. 1:29). Both Pauline words. Because we have set our hope (ὁτι ἐλπικαμεν [hoti elpikamen]). Perfect active indicative of ἐλπιζω [elpizō] (Rom. 15:12). Saviour of all men (σωτηρ παντων ἀνθρωπων [sōtēr pantōn anthrōpōn]). See 1:1 for σωτηρ [sōtēr] applied to God as here. Not that all men “are saved” in the full sense, but God gives life (6:13) to all (Acts 17:28). Specially of them that believe (μαλιστα πιστων [malista pistōn]). Making a distinction in the kinds of salvation meant. “While God is potentially Saviour of all, He is actually Saviour of the πιστοι [pistoi]” (White). So Jesus is termed “Saviour of the World” (John 4:42). Cf. Gal. 6:10.
1 Timothy 4:
A.T. Robertson, Word Pictures in the New Testament (Nashville, TN: Broadman Press, 1933), 1 Ti 4:10–12.
As well as many verses of scripture
1 Timothy 2:4–6
4 Who will have all men to be saved, and to come unto the knowledge of the truth. 5 For there is one God, and one mediator between God and men, the man Christ Jesus; 6 Who gave himself a ransom for all, to be testified in due time.
Romans 5:18
Therefore as by the offence of one judgment came upon all men to condemnation; even so by the righteousness of one the free gift came upon all men unto justification of life.
Hebrews 2:9
But we see Jesus, who was made a little lower than the angels for the suffering of death, crowned with glory and honour; that he by the grace of God should taste death for every man.
Isaiah 53:6
All we like sheep have gone astray; We have turned every one to his own way; And the LORD hath laid on him the iniquity of us all.
1 Timothy 4:10
For therefore we both labour and suffer reproach, because we trust in the living God, who is the Saviour of all men, specially of those that believe.
John 6:51
I am the living bread which came down from heaven: if any man eat of this bread, he shall live for ever: and the bread that I will give is my flesh, which I will give for the life of the world.
2 Corinthians 5:14–15
14 For the love of Christ constraineth us; because we thus judge, that if one died for all, then were all dead: 15 And that he died for all, that they which live should not henceforth live unto themselves, but unto him which died for them, and rose again.
John 11:51
And this spake he not of himself: but being high priest that year, he prophesied that Jesus should die for that nation;
1 John 2:2
And he is the propitiation for our sins: and not for ours only, but also for the sins of the whole world.
2 Corinthians 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.
2 Peter 3:9
The Lord is not slack concerning his promise, as some men count slackness; but is longsuffering to us-ward, not willing that any should perish, but that all should come to repentance.
even judas
Luke 22:14–23 (KJV 1900) — 14 And when the hour was come, he sat down, and the twelve apostles with him. 15 And he said unto them, With desire I have desired to eat this passover with you before I suffer: 16 For I say unto you, I will not any more eat thereof, until it be fulfilled in the kingdom of God. 17 And he took the cup, and gave thanks, and said, Take this, and divide it among yourselves: 18 For I say unto you, I will not drink of the fruit of the vine, until the kingdom of God shall come. 19 And he took bread, and gave thanks, and brake it, and gave unto them, saying, This is my body which is given for you: this do in remembrance of me. 20 Likewise also the cup after supper, saying, This cup is the new testament in my blood, which is shed for you. 21 But, behold, the hand of him that betrayeth me is with me on the table. 22 And truly the Son of man goeth, as it was determined: but woe unto that man by whom he is betrayed! 23 And they began to inquire among themselves, which of them it was that should do this thing.
which you did not address
Ps note Paul's consistency in the epistle to Timothy
1 Timothy 4:10
For therefore we both labour and suffer reproach, because we trust in the living God, who is the Saviour of all men, specially of those that believe.
1 Timothy 2:4–6
4 Who will have all men to be saved, and to come unto the knowledge of the truth. 5 For there is one God, and one mediator between God and men, the man Christ Jesus; 6 Who gave himself a ransom for all, to be testified in due time
As well as Paul in all his works
Romans 5:18
Therefore as by the offence of one judgment came upon all men to condemnation; even so by the righteousness of one the free gift came upon all men unto justification of life.
2 Corinthians 5:14–15
14 For the love of Christ constraineth us; because we thus judge, that if one died for all, then were all dead: 15 And that he died for all, that they which live should not henceforth live unto themselves, but unto him which died for them, and rose again.
2 Corinthians 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.