I believe that when the saints go up to be with Jesus and make their journey to the Gates of Heaven where "the saints go marchin' in", it will leave the Earth in a 1,000 years of darkness and silence with only the devil and his angels left here to consider what they've done and the fate that awaits them afterward.
I don't see Scripture saying that, nor do I recall SDAs believing that scenario, but could be wrong. What I see is Satan and his angels will not be wandering around on earth for a 1000 years. No, they will be chained in hell, and Christ will rule for 1000 years on earth from the holy city. After the 1000 years has ended, then Satan and his angels will be released and the war of Armageddon will commence. Chapters 19 and 20 seem to show the
same event from two different perspectives. They are not sequential. Both show Christ reigning on earth over the nations for a thousand years, while Satan is chained.
Then I saw an angel coming down from heaven, having the key to the bottomless pit and a great chain in his hand. 2 He laid hold of the dragon, that serpent of old, who is
the Devil and Satan, and
bound him for a thousand years; 3 and he cast him into the bottomless pit, and shut him up, and set a seal on him, so that he should deceive the nations no more till the thousand years were finished. But after these things he must be released for a little while.
4 And I saw thrones, and they sat on them, and judgment was committed to them. Then
I saw the souls of those who had been beheaded for their witness to Jesus and for the word of God, who had not worshiped the beast or his image, and had not received
his mark on their foreheads or on their hands. And they
lived and reigned with Christ for a thousand years. 5 But the rest of the dead did not live again until the thousand years were finished. This
is the first resurrection. 6 Blessed and holy
is he who has part in the first resurrection. Over such the second death has no power, but they shall be priests of God and of Christ, and shall reign with Him a thousand years.
7 Now when the thousand years have expired, Satan will be released from his prison 8 and will go out to deceive the nations which are in the four corners of the earth, Gog and Magog, to gather them together to battle, whose number
is as the sand of the sea. 9 They went up on the breadth of the earth and surrounded the camp of the saints and the beloved city. And fire came down from God out of heaven and devoured them. 10 The devil, who deceived them, was cast into the lake of fire and brimstone where the beast and the false prophet
are. And they will be tormented day and night forever and ever.