Be careful when paralleling large filter capacitors over existing capacitors for testing. You may exceed the forward peak current capacity of the rectifier diodes, potentially degrading or destroying them. In these older devices they are usually over-specified, so I guess you are OK, but still, be mindful. Sounds like you are on the right way. I agree with my colleagues, recap the entire power supply and look for leaky (warm) tantalum capacitors as well.
Happy repairing.