Well, the videos were helpful. I can see you have good equipment. Question: Do you have an Oscilloscope? If so, you can probe VDDC and measure the noise to confirm bad tokins. Set scope to 50mV/div and 1uS, trigger at 1v. Noise should be under 50mVpp.
I would start with the troubleshooting the VDDC filter on both the CPU and RSX. First compare the resistance and ESR of the first stage RC filter. It amplifies the attenuation of the second stage (tokins). So if the first stage is bad, the whole filter will be detuned. and cause the 1002 error. It's easier to replace a couple of SMD's. Compare the values to the other 3-4 in the filter. Here's what I mean...
View attachment 34886
...The resistanc and ESR of those SMD's should match (within reason). If not replace and retest, before removing the tokins.
Stuff you get to skip thanks to the SYSCON UART Diagnosis (Imagine how much time that would have wasted):
- ESR/resistance of the larger MLCC's next to the IOR VRM and the electrolytic caps. I'm sure they're fine or you'd get 1004 error and the RSX wouldn't start.
- Compare the SMD components next to the Inductors to a known good board (to the left of the inductors in the pic above. May be different on a VER-001 IDK). There are more on the back side.
- Check for voltage @ a few MOSFET in that section. The console wouldn't be booting this long or report a RSX OK PowerState if there were an issue here.
If the 1st stage filter is fine, then replace each tokin with 3x470uF Low ESR TaPol caps. I recommend Panasonic 2R5TPF470M6L or you can harvest them from dead motherboards. AlPol caps will work too, but they're theoretically not as good. You also need to bridge the + rails with at least 16AWG.