The technology survived. It was moved to Constantinople.
Rome was a fraction of its prior population after Constantine moved the capitol moved to Constantinople (now Istanbul). There are accounts of residents describing the vast portions of the long-abandoned city they'd walk through to get to where they lived. Rome was "sacked" by invaders who walked right in.

The "deep collapse" has been ongoing for nearly a century as large segments of the world have been abandoned in place. There are entire cities in the U.S. that are in effect "ruins" and would disappear if not for distant taxpayers being forced to subsidize them.
Here's just a sample of such cities:
It won't this time. The inter-dependencies of today's technology is much deeper and the knowledge base to keep it going is highly distributed. The knowledge itself is way more complex than that of the Roman era.
Nashville? In ruins? You’re delusional.