Only perfectly-round, perfectly dry dust would tend to blur tracks. Some complain, incidentally, that there was no one on the Lunar surface to capture the footage of Neil Armstrong crawling along the LEM ladder to the Moon's surface. No one, of course, except for the remote camera mounted on the LEM's landing foot. That's what it does here on Earth, after all, and we supposedly have more gravity than the Moon does. The Moon has gravity and effectively no atmosphere.
Gravity is the force which pulls the dust downward.
On the Moon, there is no air to keep the dust particles afloat, so they naturally tend downward faster. They don't remain suspended in a plume because there is no medium in which they may remain suspended. Note it took as long for the dust in the LR shots to hit the Lunar surface as it did for the astronauts themselves to return to the Lunar surface when they were shown hopping along it. Oh, but some of those shots were actually live from the Lunar surface. You can't inject delays of this type preferentially in live footage.