In the Monty Hall problem there is added information in the second round from the informed choice (removing the empty box).
In this problem we don't have the same two-stage process with new information. If the previous process was fair then we know the remaining candidate was better than the eliminated male (and female) candidates. We also know the remaining female candidate was better than the eliminated male (and female) candidates.
So the size of the initial pools does not tell us anything about the relative result of evaluating these two candidates. Most people would choose the candidate from the smaller pool though, using an analogue of the Gambler's Fallacy.