My interpretation is a suspensor or anti-grav drive somehow alters the gravitational constant, allowing it to increase, lessen, or even reverse the effects of gravity on the drive.
Reverse is the important part, because then it creates an upthrust that can be used to lift other objects.
So, it "pushes down" in the same way as gravity pulls down on me - relative to the local "gravitational well". It doesn't push down on the floor beneath it any more than floor below me is pulling down on me. Yes, the floor and I do have a gravitational interaction, but it is trivial.
Thus, in this case, a rickety floor essentially has no force on it, because the forces are between the planet and the hover plate.
As for how far it decides to be from the local COG, in the case of an Astartes Land Speeder, it will be programmed to respond to the pilot's instructions. With a hoverplate or something, I imagine it has sensors that tell it to maintain an altitude of around three feet off the surface below, and instructions to keep itself level, and avoid excess accelerations up or down.
So, if you inserted something between the plate and the floor, it might raise up slightly as it detected an increase in the average height of the surface below, but it wouldn't fly off at a wild angle. And if you shoved them off a balcony, it would probably detect the fall in the level of the ground below, slowly (and safely) sinking until it reached the appropriate level above the floor.
That said, it might come with override controls to disable the "floor clearance" and just let the user manually control altitude, allowing them to hover straight up, across huge chasms or whatever.