The electrolytic caps do have a finite lifetime. At work, we have a ten-year replacement program for these capacitors on our older control systems and power supplies. It is not that the caps will fail at ten-years, just that their reliability starts to degrade somewhere at 10+ years. However, I expect that we will see more units with bad caps in the next 3-5 years.
I have lost 3-4 motherboards made in the early 2000s to this failure mode. It is interesting to note the my motherboards from earlier are still working fine ( for example, a 1995 IBM Aptiva that I use for running rehearsal scores when my spouse directs theatrical productions)