In a wide variety of circumstances, a sensible monetary response to a demand shock would look much the same for an FIT central bank as for a central bank following the Taylor rule. One distinction is that the Taylor rule does not require the central bank to announce a formal inflation target.
But even this distinction may be more apparent than real if the central bank following a Taylor rule actually follows a  BIS Review 1/2003  1  reasonably steady inflation policy. The Fed, for example, does not follow FIT and has never announced a formal inflation target.