Airport uber times

I just went to book an uber (with car seat) for Monday, and it had me input my flight and then for the “times” given it would only offer the exact time of when the flight lands (e.g. our flight lands at 7:30 am, the uber trip shows as starting at 7:30 am). Has anyone else had this experience? I just want to make sure the uber won’t leave if we are still getting off the flight and grabbing our baggage?