A printing system is provided having a carrier, a printhead module carried by the carrier and a controller. The printhead module has at least one row of ink ejection nozzles. Each of the nozzles is configured to eject ink in response to fire signals from the controller. The controller is configured to determine erroneous rotational displacement of the printhead module relative to the carrier, determine a correction factor based on a thickness of media being printed that at least partially compensates for ink dot displacement by at least one of the nozzles, and using the correction factor, alter the output of the fire signals to the nozzles so as to alter the ejection of ink dots to at least partially compensate for the rotational displacement.