A quick Google on the moon dust not being on the lander..
You can't test this on Earth obviously
"First, lunar dust will drop straight down if it is released – be it from an astronaut that picks it up or from the force of a rocket engine’s exhaust (which, while not strong enough to create a crater was strong enough to suspend lunar dust). Second, the Apollo engines were shut off before the craft landed.
Consequently, as soon as the engines shut off, the source of a temporary atmosphere that surrounded the craft was terminated, and the dust that was suspended in it immediately dropped towards the lunar surface. The craft still had both a horizontal component to its trajectory, and the legs were above the majority of any of the temporary atmosphere that suspended the dust.
Hence, when the craft landed, it landed both to the side of the settled dust, and the dust would have already settled before the craft touched down, preventing any from being deposited on the LM’s footpads."