The SX-1010 also has the POWER SUPPLY on the bottom of the unit and the board is Upside down, and has little to no natural ventilation either, due to the design of the unit. So the heat from the P.S. gets trapped and pretty soon stuff starts overheating and boards get brittle. The boards can be re-populated, even totally black boards as long as the traces are in decent condition, and best practice now is to raise diodes off the board, along with power resistors (which incidently do more damage to the board than the diodes). There is even a special tool to put a crimp in the leads so they stay up away from the boards while you are positioning and soldering.
I would replace the rest of the caps on the power supply at minimum. Once the voltages are stable and reliable, the rest of the unit should follow suit.