Following their devastating downfall, the nation of Edom is left depleted and reduced to severe poverty [אבן עזרא, מצודת ציון, ביאור שטיינזלץ]. However, rather than accepting their ruin as divine punishment, they display a stubborn arrogance and a supreme confidence in their ability to recover. They completely deny God's direct involvement in their fate, insisting instead that their destruction is merely the result of bad luck or natural historical cycles. They believe that once the wheel of fortune turns in their favor, they will easily rebuild from the rubble [מצודת דוד, מלבי״ם, אברבנאל, אהבת יהונתן]. Another perspective suggests their boasting is fueled by the wealth they recently plundered from the ruins of Jerusalem; they admit their past poverty but plan to use this stolen treasure to fund their own restoration [רש״י, צאינה וראינה]. Additionally, Edom looks at the Israelites, who managed to rebuild their own destroyed cities, and arrogantly assumes they can simply do the same [רד״ק].
God firmly shatters this illusion of self-reliance. He makes it clear that even if natural laws or shifting luck dictate that Edom should successfully recover, He will actively intervene to tear down whatever they build. This deliberate and repeated destruction is meant to prove His ultimate power and direct involvement in world events. By actively dismantling their efforts, God demonstrates to everyone that Edom's downfall is not a random accident of history, but a calculated divine decree [מלבי״ם, אהבת יהונתן, אברבנאל].
Ultimately, this relentless cycle of ruin will lead to a global realization. The surrounding nations will look at Edom and recognize that their territory is eternally cursed due to their wickedness, with the permanent ruins serving as a lasting monument to God's anger [מצודת דוד, ביאור שטיינזלץ, אברבנאל]. This eternal divine wrath stems directly from Edom's deep-seated historical cruelty. While God specifically commanded the Israelites not to despise Edom out of respect for the ancient family ties between Jacob and Esau, the Edomites chose the path of ultimate betrayal. They consistently harmed their brothers at every opportunity and gleefully celebrated the destruction of Jerusalem. Because they chose to make their land a dwelling place for pure evil, standing in direct opposition to holiness, they are condemned to face God's unending anger and absolute desolation [רד״ק, צאינה וראינה, מלבי״ם].