It shouldn't matter one bit. They're legally obligated to take you anywhere in the five boroughs.
Just get in before telling them your destination. If they give you flak (and you feel like fighting them), just take note of their medallion # and state clearly that you will report them if they fail to fulfill their obligation.
Just get in before telling them your destination. If they give you flak (and you feel like fighting them), just take note of their medallion # and state clearly that you will report them if they fail to fulfill their obligation.