I am connecting a 3V power supply (CR2032/CR2450 coin cell) to a 1.5F 5.5V rated supercap. Given that the supply voltage is lesser than rated voltage of supercap, chances of any damage become minimal. But my doubt is: whether this setup would increase the quiescent current drawn by supercap and hence decrease the battery capacity.
Theoretically, i suspect it shouldn't make any difference but in a test circuit I observed quiescent current was higher than what was provided in supercap datasheet (when battery and supercap had reached the same voltage).