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Size doesn't matter if it's done expertly. Here is one example to confirm this statement. The CD54 power inductor is not only small in physical size, but its 4.7uH is also extremely low in value, yet it can be used to generate a high voltage of 165 volts with a 100k load and 110 volts with a 10k load, pretty pretty neat.

why 4.7uH? It has to do with turn-ON time. Yes, regardless of size, it can turn you ON, but in a fraction of a fraction of a second or more precisely as shown below.
1/500000*0.94=0.000,001,88 second
2*0.000005/5=0.000,002 second
2*0.000005/4.7=0.000,002,12 second

What does this means? It simply means that we don't want the inductor to get turn-ON longer than it can handle at 2A. Notice that the switch has a lower duty cycle with a lower load, and a top duty cycle as a heavier load. At heavy load, the frequency even went over 500kHz to 600kHz. This actually decreases the switching current which is not a good thing.