A consumer grade electrolytic capacitor that is 10mm wide is 7,000hrs. You can use a larger diameter capacitor and achieve 10,000hrs. The only option which is not practical is to use a capacitor with at least twice the diameter/size than what is used here. Is that what you were saying as wrong? Or, do you expect industrial or military grade capacitors to be used?
It is simple arithmetic to convert these hours to number of years. If the unit is powered 4hrs a day the 10mm capacitor may reach EOL in less than 7yrs. If the user believes in keeping devices powered on always then the EOL may be reached in less than year!
If you use a larger capacitor you may reach a ten year life span with 4hrs/day power up. However, high temperatures will reduce that down still.