From my experience those capacitors are always in short, and that doesn't mean they're faulty. The conectivity of CELL traces is a little bit wierd or uncommon for me, and pretty sure it's for most of the people who work with electronics. Around the CELL are always a few caps in short, and that's normal, but that's when you don't know if it's a normal "short" or a real short, then you need to take off the CELL (most of the times is the RSX) to do so measurements to see if the problem is in the processor or some ceramic capacitor, or even those NECs. From what I see in your video, you need to either to reflow the RSX, rework it (reballing) or replace it. Once you replace every NEC on the RSX, and some on the CELL, and you're sure you didn't damage anything, or atemp to do some delid, then it's pretty sure you need to do that.
I have now a CECHE in the same condition. The console booted but needed a delid, when I opened I saw that the clamps were bent (SO BENT) and well, a screw of the clamp was even damaged. After I delidded the CELL, well, it now happens what you have on yours, and that's because by using excesive force on both processors due those bent clamps, the tin balls cracked, and needs a rework, simple as that.
Your PS3 always did instant YLOD or it was longer than that before replacing those NECs?