I've just tested the volt drop of various electrolytics, film and ceramic capacitors with my USB oscilloscope, a 3.8v battery source and a 10 ohm load and the results are as follows:
With no capacitor there are wild peaks and dips when the load is applied.
Aluminium electrolytics remove noise and wild peaks and drops when the load is applied but dont slow the immediate volt drop.
Film and ceramic eliminate the sudden volt drop and smooth it to a gentle slope, smaller values dip slightly before stabilizing.
A larger aluminium electrolytic along side a smaller film capacitor doesnt do much at all, if anything its more stable without the electrolytic.