You can't really add the 38000uF of capacitance directly to the PS mobo without destabilizing the power supply.
Even the 0.01ohm of resistance of the cables makes a huge difference in stability on a switching power supply, and the cables add that.
Switching power supplies are tuned for a specific maximum capacitance; they won't 'start up' with too much capacitance.
I've designed a bunch of power supplies.
Computer power supplies are really cheaply built, lol. I've worked on every one I've ever bought, before I used it.
Stranded cables are better than solid cables in every case; solid is cheaper, but there are frequency limits based on skin effect.
Solid wire works great for wall power, but would radiate like crazy used in a computer, at several frequencies.
Inside the PS, you'd need to use resistors between the output and the additional caps, and that dumps heat, and lowers voltage/power.
Adding it on the CPU motherboard would be ok, but there's another switcher there to make CPU voltage, and stability there is a concern.
You could design it in, tho.
Also those caps are pretty big, and mobo MFR's don't like huge things sticking up; you either have to load them after SMT soldering, by hand, or use expensive smt ones.
Another soldering step is expensive, maybe a 20% cost adder.
I'd also say the usefulness is varied board to board; cheaper mobos will benefit much more than expensive ones.
And depending on the design of the mobo, it might cause issues; if it makes the input to the CPU power section ring, it may not even start up.
It's a complex thing; this goes over some of the basics:
Most experts agree that the best way of designing power supply control loops is through the use of frequency domain design methods. Some people may have studied these techniques at university in...
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