Don't forget that 'rushing' to land can also involve stand delays on the ground as the stand allocation is generally +/- 15mins of scheduled arrival time.
So, as JazzyKex has alluded to, rushing to wait can burn excessive fuel in the air leading to airborne holding followed by ground holding.
As our erstwhile colleagues in the back are well aware the passengers can get very grumpy sitting on the ground for 15 minutes waiting for a stand to become free even if the aircraft is 30 minutes early.
So, all told, quite a carefully though out plan and one that is constantly reviewed throughout the flight.