I was testing a mosfet/heatsink one time on my Siglent PSU, and sometimes, it would get very hard to turn the mosfet back off right away, by lowering the gate voltage, and I mean on the order of seconds, and me thinking I'm going crazy. My understanding is gate capacitance is very small, so it's not just the gate was stuck high.
So in general would something like ever happen inside the PSU, when going from some big steady load for ages, to another 1, I don't mean like an inductor, I just mean transistors getting stuck on ? I should try it again, with it on a scope.