I believe at least part of this is correct: Purgatory will not outlast the last judgment, and certainly, after the judgment, there is no chance for repentance. We know this from the book of Revelation (20:11-15):
11 And I saw a great white throne, and him that sat on it, from whose face the earth and the heaven fled away; and there was found no place for them.
12 And I saw the dead, small and great, stand before God; and the books were opened: and another book was opened, which is the book of life: and the dead were judged out of those things which were written in the books, according to their works.
13 And the sea gave up the dead which were in it; and death and hell delivered up the dead which were in them: and they were judged every man according to their works.
14 And death and hell were cast into the lake of fire. This is the second death.
15 And whosoever was not found written in the book of life was cast into the lake of fire.
What is it that we see here? We see the dead, judged on their works. We see the death and 'hell' (this is KJV, but many modern translations translate the Greek "sheol" as "the grave" or "Hades" not the hell of the damned, which would be Gehenna) finally destroyed, because they have been emptied and thrown into the lake of fire, that is, Gehenna. Purgatory (a Latin word for the Greek "Sheol").
This is rather consistent with 1 Cor. 3:11-15, which is mentioned in the article:
11 For other foundation can no man lay than that is laid, which is Jesus Christ.
12 Now if any man build upon this foundation gold, silver, precious stones, wood, hay, stubble;
13 Every man's work shall be made manifest: for the day shall declare it, because it shall be revealed by fire; and the fire shall try every man's work of what sort it is.
14 If any man's work abide which he hath built thereupon, he shall receive a reward.
15 If any man's work shall be burned, he shall suffer loss: but he himself shall be saved; yet so as by fire.
As well as with Mt. 18:32-34:
32 Then his lord, after that he had called him, said unto him, O thou wicked servant, I forgave thee all that debt, because thou desiredst me: 33 Shouldest not thou also have had compassion on thy fellowservant, even as I had pity on thee? 34 And his lord was wroth, and delivered him to the tormentors, till he should pay all that was due unto him.
I would love to chat further, but my homework doesn't do itself, so I won't be back on the thread until later today.