I depends on the design of the PSU.? In some cases, low ESR capacitors are specified in the datasheet of the voltage regulator chip, so that's what you need to use.
I can't think of a reason why replacing a higher ESR capacitor with a low ESR one would be a problem.? Doing it the other way around definitely can be a problem - at the very least, doing it to a PSU could cause more ripple or hum.? At worst, it could destabilise the voltage regulator and do a lot of damage.
Personally, I'd count most of the "cost" of a repair like that in terms of my time to do it.? Spending more on the components isn't likely to bankrupt you.? Using better specification ones makes it less likely that you'll have to do it again any time soon.
Andy
AndyHornBlower