Sometimes rodding and testing is not enough, they just plain get worn/aged out, loose fins and poor fin connection to the tubes. If you end up painting the old, do not apply a thick coat, just enough to cover. Thick paint affects dissipation/transference of heat to air. Some Barners
have been through the process of radiator flush/backflush/rodding, and either have had to replace the core or replaced the radiator.