Always a difficult decision whether to delay a flight for connecting passengers. If it is a sizeable group, say 20 people and it will incur a 15 minute delay it is probably worth it and then baggage becomes the issue, ie whether to further delay for the bags or not.
What annoys me is when the flight departs on time but leaves a load of baggage behind because the ground staff want to get their bonus for an on time departure or the gate is needed for an arriving aircraft. For many passengers arriving at destination without their cases will ruin their holiday, cruise, business trip etc.