Makes perfect sense and is half truth.
The error is: "he is referring this "appointment for men to die" as the spiritual death we are sentenced to before we come to Christ. Then the judgement that comes when "He will appear the second time"."
The judgement of both spiritual death and physical death was immediate upon Adam & Eve when they sinned.
The spiritual death ocurred in a 'atomos of time' = split second the moment the forbidden fruit hit their lips.
The physical death also ocurred the moment they ate the forbidden fruit.
Why then did they not drop dead that instant???
HALLELUYAH = God's Plan of GRACE & MERCY = the GOSPEL of GOD
Truly physical death entered their bodies along with spiritual death at the same moment.
The physical death had a time stamp on it according to the Will of God.
Man was created to live a thousand years but sin entered into man and those years were cut short by sin which is death.
It is written: It is appointed for man once to die after death the Judgment.
God covered Adam & Eve's sin with a blood sacrifice of a lamb and as long as they remained under this Grace, God would receive them into Eternal Life once the True Lamb came and shed His Blood for ALL the world.
Now you may say to yourself, no DavidTree - that's not how i see it, you may but hopefully not and in case you do;
CHRIST has the Remedy for you to SEE = John 3:18
For God so loved the world that He gave His one and only Son, that everyone who believes in Him shall not perish but have eternal life. For God did not send His Son into the world to condemn the world, but to save the world through Him.
Whoever believes in Him is not condemned, but whoever does not believe has already been condemned, because he has not believed in the name of God’s one and only Son.
And this is the verdict: The Light has come into the world, but men loved the darkness rather than the Light because their deeds were evil. Everyone who does evil hates the Light, and does not come into the Light for fear that his deeds will be exposed. But whoever practices the truth comes into the Light, so that it may be seen clearly that what he has done has been accomplished in God.”
Back to Hebrews 9:28
so also Christ was offered once to bear the sins of many;
and He will appear a second time, not to bear sin, but to bring salvation to those who eagerly await Him.
You die twice or You die ONCE and LIVE TWICE = take your pick
Salvation is TWICE = His First Coming for remission of sin and His Second Coming for Resurrection unto Eternal Life.
Death is TWICE = All have sinned and fallen short of His Glory an AFTER death the Judgement
Then I saw the thrones, and those seated on them had been given authority to judge. And I saw the souls of those who had been beheaded for their testimony of Jesus and for the word of God, and those who had not worshiped the beast or its image, and had not received its mark on their foreheads or hands. And they came to life and reigned with Christ for a thousand years.
The rest of the dead did not come back to life until the thousand years were complete.
This is the first resurrection.
Blessed and holy are those who share in the first resurrection!
The second death has no power over them, but they will be priests of God and of Christ, and will reign with Him for a thousand years. Rev 20:4-6
He who has an ear, let him hear what the Spirit says to the churches.
The one who overcomes will not be harmed by the second death.
The FATHER SON and HOLY SPIRIT wrote a Children's book so that simple minded, everyday children can read and understand.
Page 1 reads - It is written: not of works lest any man should boast
Page 2 reads - It is written: not by might nor by power but by My Spirit says the LORD
There is much more the Spirit wants to share with you on this but i have to go now , however, if you have the Spirit then do not grieve HIM by adding to or taking away from His words and HE shall open and enlarge the borders of your understanding.
PEACE
Even though the scripture says nothing at all to that effect. 
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