But here is the thing.
if the capacitor leaks, or even dries out from usage beyond its lifespan, the capacitance lowers, and the ESR rises. This allows spikes to get through as the capacitors are no longer filtering/suppressing them. Sure a dummy load is important, but thats not the case here.
So, when the power supply fires up, or even when its running, you can get a few microsecond spike which would normally be filtered, to pass through. just long enough to trip out a detection circuit.
As a capacitor with high ESR used in a demanding circuit sees power, the current flowing through its high internal resistance will heat the capacitor, and when a capacitor heats up, the ESR starts to drop a bit, and the capacitance actually raises a bit. Temporarily "reforming" a capacitor.
I know this effect, and I have seen it 1000000000000000000s of times. Especially with mid 2000s LCD monitors and TVs. Eventually the capacitor completely fails, and the effect doesnt take place without a hair dryer to help aid things along.
Back in my days as a service bench tech, I used to snuff out those types of capacitors all the time with a heat gun/hairdryer trick. The amount of Panasonic projection TVs, and Hitachi, mitsubishi sets that did this to me...
The worst ones were the 1st generation Mitsubishi DLP sets. Dear gosh the amount of bad capacitors in those. 100s of them. all SMD and some through hole.