The Falcon 9 also can't throttle low enough to be able to hover when empty. It could do it with extra fuel but that's only because the extra fuel would add more

The Falcon 9 also can't throttle low enough to be able to hover when empty. It could do it with extra fuel but that's only because the extra fuel would add more mass, it would have to land before it became light enough that it starts accelerating upwards again.