Once the kick (engine spin) is over, within milliseconds the cap is fully discharged. So there is NO storing of energy to be added to your second kick effort.
If that is the case, why does it take multiple kicks before the bike can be started ?, the capacitor will only be discharged when the load required is equal or greater than that being held in the capacitor.
The capacitor does not automatically (without a load greater than current capacity) dischage within milliseconds, infact capacitors will hold power for quite some time, the internal resistance of the average capacitor is usually greater that 2 mega ohms, this is one thing you check with a multi meter when testing a capacitors functionality.