Ahh that takes me back.
I killed a cheap "400W" power supply: I overclocked a good old 1GHz Thunderbird CPU to 1.4GHz, then ran a CPU stress test on the "maximum power/heat" setting.
A power resistor in the power supply promptly blew apart.
Antec vs a cheap-crap supply.
400W cheap and 350W Antec.
"Duro" was the cheapie's brand/manufacturer, I believe. I don't know....anytime a company name tries to use a heavy-handed approach and beats you over the head with "OMG you can't
imagine how good our quality is!" I get nervous.
Smaller input caps: 120-240V is the input rating, so those are in series, giving 165uF on the 400W and 410uF on the 350W. I believe a power supply needs to run at least 16.6 milliseconds at full load on capacitor power alone: If there's a power outage, a UPS needs to see a missed cycle to know that the voltage is gone, and that it needs to immediately switch to battery.
So there's smaller caps, less input filtering, less output filtering, smaller transformers, smaller heatsinks (hey, maybe they're using more efficient FETs and don't
need better heatsinks:awe

, shady vendors for components.....cost cutting
everywhere.
Components heat up. Metal expands. When this expansion causes a local electrical resistance to increase, a runaway temperature/expansion condition occurs very rapidly. Small fractures between where the pad meets the trace or where the component leg (or ball) meets the pad are probably the most likely causes. When the unit heats up, the metal expands differently on one side of the fracture compared to the other, causing the fracture to grow. This doesnt present a problem until the fracture crosses the threshold of how much current can be passed through the remaining unfractured metal. Like I said this last part usually happens very quickly.
Good old thermal runaway: A good example of why a system with positive feedback can be more of a problem than it may sound at first.
...
A well designed power supply will limit the temperature fluctuations to only the components that are specifically designed to handle them. It is about more than just the ratings on compoenents. Even the crappiest supplies probably use components that are rated with a reasonable spec. But just because a component is rated up to 85C doesnt mean that you should subject it to that unless absolutely necessary.
My reputation at work has become something of a capacitor snob. I spec capacitors for a
minimum of 5000hrs @ 105C, with as much ripple current capacity as I can squeeze into the budget. I've replaced more bulging capacitors than I care to have done, and I have no desire to use crappy capacitors in anything this company ships out.
Yup, you can get a cap that's rated for high temperatures, and it may proudly say "105C" on the sleeve.
I quickly checked the capacitor listing at Digikey: Anything from 1,000hrs @ 85C up to 26,000 hours, just in ones spec'd at 85C. They've also got some that are spec'd at 1,500hrs at 150C.

Capacitors don't like heat. Every degree you can shave off of the ambient temperature will help increase life expectancy. That's the other reason for low-ESR caps: Resistance causes heating, so the cap will heat
itself up, which will likely make a bad situation even worse.
I took apart a dying laptop power supply recently: Some cheap crap thing where the manufacturer didn't even want to put their company name or logo on the thing. Two things were hotter than anything else: The transformer and the main input capacitor. Not any of the diodes, not any transistor or FETs....you know, the thing that are
usually warmest. Nope, one of them was the input capacitor. No attention paid to ripple current, capacitance requirement, only cost.