This is what is called a facile response. Nothing you've repeated here counters any of what I showed you from the immediate context of Hebrews 9:27-28. As I've already explained to you in other threads, everybody will stand before God at the Final Judgment, the unbelieving and unrepentant to eternal separation from God, the saved to eternal fellowship with Him in the New Jerusalem. In any case, the writer of Hebrews was not attempting to teach a "second chance" doctrine in chapter 9. Not at all. His focus was upon explaining the difference between the once-for-all sacrifice of Christ for sin and the oft-repeated sacrifice of the OT priests for sin. When the writer of Hebrews wrote,
Hebrews 9:28 (NASB)
28 so Christ also, having been offered once to bear the sins of many, will appear a second time for salvation without reference to sin, to those who eagerly await Him.
he was not indicating that there was a second opportunity for salvation for the sinner who dies, unrepentant, in his/her sin, but only that Christ would appear a second time for the "salvation without reference to sin" which is to say, for the full completion of his salvation of the born-again who "eagerly await Him." What is the "full completion of salvation"? As I've explained to you before, it is the permanent removal of the presence of sin (Revelation 21:26-27; Psalms 1:5-6; from the born-again, who, in Christ, have already been made free from the penalty and power of sin.
Romans 8:23-25 (NASB)
23 And not only this, but also we ourselves, having the first fruits of the Spirit, even we ourselves groan within ourselves, waiting eagerly for our adoption as sons, the redemption of our body.
24 For in hope we have been saved, but hope that is seen is not hope; for who hopes for what he already sees?
25 But if we hope for what we do not see, with perseverance we wait eagerly for it.
1 Corinthians 1:6-8 (NASB)
6 even as the testimony concerning Christ was confirmed in you,
7 so that you are not lacking in any gift, awaiting eagerly the revelation of our Lord Jesus Christ,
8 who will also confirm you to the end, blameless in the day of our Lord Jesus Christ.
Philippians 3:20-21 (NASB)
20 For our citizenship is in heaven, from which also we eagerly wait for a Savior, the Lord Jesus Christ;
21 who will transform the body of our humble state into conformity with the body of His glory, by the exertion of the power that He has even to subject all things to Himself.
In the NT, the only ones who are said to "eagerly await" Christ are the born-again.
What's more, Hebrews 9:27-28 does NOT say that those who "eagerly await him" have endured krisis already.
Hebrews 9:26-28 (NASB)
26 Otherwise, He would have needed to suffer often since the foundation of the world; but now once at the consummation of the ages He has been manifested to put away sin by the sacrifice of Himself.
27 And inasmuch as it is appointed for men to die once and after this comes judgment,
28 so Christ also, having been offered once to bear the sins of many, will appear a second time for salvation without reference to sin, to those who eagerly await Him.
All the writer of Hebrews indicates in these verses is that the appearance of Christ a second time is appointed to occur just as surely as judgment follows death for all mankind - not to make another atoning sacrifice, but to complete his salvation of the born-again, who have been eagerly waiting for him to do so. That's it. No "second chance" teaching at all in the passage - just like in the rest of the NT.
By the way, it isn't only the parable of Lazarus and the Rich Man that flatly refutes the notion of a second chance for the lost after death. Consider the following:
Revelation 20:13-15 (NASB)
13 And the sea gave up the dead which were in it, and death and Hades gave up the dead which were in them; and they were judged, every one of them according to their deeds.
14 Then death and Hades were thrown into the lake of fire. This is the second death, the lake of fire.
15 And if anyone's name was not found written in the book of life, he was thrown into the lake of fire.
At the Great White Throne Judgment, the dead (all dead, great and small - vs. 12) are given up from wherever they are and judged according to their deeds and are, with Death and Hades, consigned to the Second Death if their name is not found written in the Book of Life (Philippians 4:3; Revelation 3:5). There is not the slightest hint of a "second chance" offered to anyone in this account, nor is there any other biblical account that, as plainly and directly as this one, indicates an alternative, "second chance" ending for any sinner who has died unrepentant in their sin.
I haven't had to erect any convoluted, jump-all-over-the-Bible, eisegetical argument to show what Scripture explicitly, repeatedly, and simply indicates is the case for any who die unrepentant in their sin. This fact ought to give you serious pause in your consideration of who has the right of things.