For applications where high current pulses have to be handled, supercapacitors are often used and then their low ESR is really important.
However the ESR is only important where the voltage drop due to ESR matters, so where a model aircraft is flying for several minutes, the ESR will make next to no difference.
If the brushed motors are being controlled using PWM, it will be the motor current, which will equal the peak current taken from the capacitors, that has to be considered, and that can be a lot more than the the average current.
The other consideration is ESL, or equivalent series inductance. The current will not be steady, either due to PWM or due to the switching each time a brush connects with or disconnects from a commutator segment. The ripple current can cause significant voltage spikes. I have no idea how the ESL of a supercapacitor compares with that of an LIC, but it's always a good idea to put generous amount of low ESR capacitors on the input to any PWM controller, so that inductance of the supply, including any wires, has less effect.