Yes
The radiator is only half of the cooling system, the other half is the engine cooling galleries.
If you had rust packed in the radiator what makes you think the other parts are clean? Another point - modern car radiators are so flimsy that disassembling them for a rodding usually ruins them, a chemical flushing is much better as it cleans everything. The engine, heater and the radiator, but my question is
Radiator rodding is an obsolete service now as OAT coolants were invented 30 years ago, they are very long life and provide excellent protection, truck fleets globally went from waterpump replacement and radiator rodding once a year to never in truck lifetime after LL coolants came to market.