Final answer:
Gate operations staff do not assist pilots on pushback, as this is the job of airport ground staff. Their responsibilities include authorizing boarding, traveler check-in, and responding to traveler inquiries.
Step-by-step explanation:
The responsibility that would not be fulfilled by a gate operations staff member is assisting the pilot on pushback. This task is generally handled by airport ground staff who are specifically trained for the operation of tugging and pushback activities.
Gate operations staff are responsible for tasks such as authorizing the boarding of travelers, checking in air travelers as they arrive, and responding to questions from travelers. These responsibilities are critical in ensuring a streamlined and efficient boarding process.