That said, the LM had a suitably high moment of inertia.
Which decreased enormously through the mission as the propellants were depleted and the descent stage was jettisoned. IIRC, they decreased by an order of magnitude between undocking and docking after ascent. Each RCS thruster remained at 100 pounds so vehicle response got pretty zippy. I think some crews compared it to a sports car.
I've had hoaxers claim that the movements in the 16mm films of rendezvous and docking are physically impossible. But when you take into account the actual film speed (6x real time), depleted ascent stage moments of inertia and the RCS engine thrusts, what we see is exactly what we should see.
Of course I have yet to meet a hoaxer who wasn't totally innumerate so this never seems to faze them. They never understand that claims like "it's too fast" are inherently quantitative and can be checked with math and well established physics. If they don't understand it, and they never do, it can't possibly be relevant.