Now enter the ultra capacitor bank. It can't be directly paralleled with the batteries. If you pulled a very high current surge, it would pull the capacitor voltage down a bit as that is the only way a capacitor gives out energy.
So the behaviour that you are experiencing is exactly what you might expect form the circuit that you realized. If you put the capacitor in parallel of the LED, you will see the LED remain on for a brief period of time after you release the button, and turn on whth a little delay when you push it.
Hence I conclude, the battery with 2 capacitors in parallel will drain out faster than a battery with individual capacitors (considering we charge the capacitors many many times, causing the battery to loose the energy). Now does this all make sense or its just baloney? Now does this all make sense or it's just baloney? It's just baloney.
Tests on the capacitor/battery parallel combination are carried out in the same way, using the conventional battery (CTX9) in parallel with a supercapacitor network. During these tests additional information is gathered regarding the current profiles.
In addition, the battery actually drains "faster" when charging multiple capacitors in parallel in the sense that, at any given time, the battery will have supplied more charge (or energy). There is also the fact batteries discharging at higher currents have a reduced capacity.
When 2 capacitors (lets say, of same capacitence 1F) are connected to a battery of 1V (a source of charges), then the capacitors take some energy from the battery and put some charge inside them (Q=CV=1Coulomb for both capacitors). Which means the battery now has less energy.