Age isn't the biggest factor, it's usage and the temperature when it's in usage. If it was on for 10 years 24/7 at a high output. Yes maybe reasonable to replace, otherwise no. Unless you have been having issues with it, which we would assume not.
As a ball park figure, increasing the operating temperature of a capacitor by 10C will halve its useful life. So the environment of the PC and the PC case cooling is a big factor.
Remember most consumer electrical products will have a PSU of some sort in them, very few run directly from 240 V. And they can last much longer then 10 years.
My fridge is 28 years old and would be running on load around 5-6 hours a day. Now its PSU is way more basic than a PC PSU, but the capacitors used are still comparable for age related comparison.
I would have no problem using it (for now), just think of it as a 650W PSU now to accommodate capacitor for degradation. Nobody ever buys a PSU with the intent of running it at 100% load anyway.
Capacitor ageing doesn't work like that, PSUs can get very slightly less efficient over time, but still below 1% difference for the large aluminium electrolytic capacitors in a good PSU. If it's more then that they are pretty much about to blow.
We aren't too worried about the smaller ceramic caps in the PSU.
What does happen is the Equivalent Series Resistance will increase and the total capacitance (how much power it can store) can lower over time. Most of the main electrolytic capacitors in a PSU will have a capacitance tolerance of +- 20%, meaning a 330µF rated capacitor could be the 264µF - 396µF range and still be in tolerance and be perfectly fine to run. Most will normally be well within +-5%, but it's possible some will be worse.
It's the Equivalent Series Resistance that changes over time. But the degrading is normally very gradual to a point, then it will fall of a cliff. :/
This is when the PSU will start to fail, or in the extreme go pop.
http://eprints.whiterose.ac.uk/104114/1/IECONv2a.pdf - A good read if your interested, but quite technical.
https://en.wikipedia.org/wiki/Equivalent_series_resistance