With remote controls the capacitor, even 22uF, will make a big difference. I add them to remote fobs, and they will operate even with a battery that does not even light the LED on an unmodified unit, though the drawback is they will fail fast once the remote shows low battery.
With IR remotes a 100uF 6V3 SMD capacitor added across the terminals means a battery set will last for years, as opposed to under 2 years, even with the cheapest non alkaline regular zinc carbon cells from the shop.
Even on a wall clock it helps, though with the new continuous motion clocks they still eat a battery a month. I got tired of doing it, so converted to run off a SLA cell that provides phone back up. just added a 1000uF 10V capacitor ( old PC power supply that also donated the red LED and the SOT current limiting resistors) to handle those pulses. LED runs at 1V4, and barely glows. Even though the capacitor is CrapXon, and probably sky high ESR wise ( Did't test it, it was somewhat faded but not bulging or leaking, trhough the PSU was not happy at all) it works in this non demanding application.