What is the difference between sizing for voltage drop and sizing for ampacity?
They answer different questions and a conductor has to satisfy both. Ampacity asks how much current the conductor can carry without overheating its insulation: a table look-up from NEC Table 310.16, then modified for ambient temperature, for how many current-carrying conductors are bundled together, and for the temperature rating of the terminals it lands on. Voltage drop asks how much voltage the run loses on the way to the load, which depends on length and has nothing to do with heat. A 14 AWG copper conductor is rated 20 A, but over 100 ft at 20 A on a 120 V circuit it drops 6.6%. It carries the current and still is not the right conductor.