A profound parallel exists between the future disappointment of an entire nation in its deity and the historical shame experienced by the Kingdom of Israel. Both nations placed their absolute trust in false gods, a choice that inevitably led to the painful realization of their idols' complete powerlessness.
The Moabite nation is destined to face deep shame and crushing disappointment from its national god, Chemosh. When disaster strikes, the people of Moab will clearly see that the idol they relied upon has no power to save them, exposing their faith as empty and meaningless [מצודת דוד, ביאור שטיינזלץ].
This devastating realization mirrors the historical shame suffered by the Kingdom of Israel regarding the city of Bethel. Commentators agree that the reference to Bethel specifically points to the golden calf erected in that city. Just as the Israelites were driven into exile and forced to recognize that the idol they built was completely worthless, the Moabites will soon discover the absolute nothingness of Chemosh [רש״י, מצודת דוד]. Both nations leaned on foreign deities as their ultimate source of support and protection, only to be left abandoned and disillusioned in their time of need [ביאור שטיינזלץ].
Bringing up the historical sin of the Kingdom of Israel alongside the impending fall of Moab serves a deeper purpose. This comparison sends a clear message to the Moabites that any past success they had in harming the Israelites was not due to their own righteousness or the power of Chemosh. Instead, their past dominance was simply the direct consequence of Israel's own wrongdoing when they chose to place their trust in the golden calf at Bethel [רד״ק].