The economic model would have to be based on energy supply.

But assuming the replicators were perfect to the atomic level; making the parts for power generation would be easy. But the fuel would still have to be found / collected / mined.

Assuming that fusion is the most common type of energy generation; hydrogen fusion would probably be the dominant form of energy generation. Hydrogen collection would be a huge industry, but it also could be fully automated.

While the economic model may not be noticed by the majority; it would still be there.