i work on stuff a hell of a lot older with lots of tants - generally from 1977 to 1983.
they dont fail from age, what shorts a tant is psu problems, spikes and reverse spikes especially.
and that brings me to another point, a tant will only burn if it has a large current across it, if it's not across a power rail it will usually not burn,
and even if it is, if the psu is protected against shorts then it still wont burn.
too many stupid scare stories are going around about tants.
i have on the other hand, seen some pretty spectacular electrolytic failures caused by long term storage,
i wouldnt ever lean over any pcb when first powering it up after several years - i like my face with 2 eyes on it!