Can you explain the reference in the band of brothers episode bastogne to goths and visigoths?

In the "Band of Brothers" episode titled "Bastogne," the reference to Goths and Visigoths serves as a metaphor for the overwhelming and chaotic situation faced by the American troops. The Goths and Visigoths were historically known as barbarian tribes that invaded and sacked the Roman Empire, paralleling the relentless German assaults on the encircled American forces. This comparison underscores the sense of siege and desperation felt by the soldiers as they struggled to hold their ground against a formidable enemy during the brutal winter of 1944.