What is backlash?
Backlash is free travel: the distance an input moves before the output starts to follow. It appears wherever two parts pass force by touching rather than by being rigidly joined — gear teeth need clearance to turn at all, a belt needs slack to run, a ballscrew needs a fit between the ball and the race. Remove the clearance and the mechanism binds. Leave it in and there is a small region, at every reversal, where the motor is moving and the load is not yet.
Does the PDK have backlash?
No. The PDK's backlash is zero. There is no gearbox, belt, ballscrew or reducer between the motor shaft and the leg, so there is no gap for the motor to cross before the leg follows. The parts that produce backlash are not in the machine, and you can check that by looking at it.
How do you measure backlash?
Hold the output still, move the input backwards, and measure how far it travels before the output follows. That distance is the backlash. On a gear pair it is done by locking the driven gear and reading the drive gear's free travel, or with a feeler gauge between the teeth, but the principle does not change with the mechanism — which is why it is a test you can run by hand rather than a figure you have to be given.
Why does a geared wheel or rig feel notchy?
Because at every change of direction the drive has to cross its own clearance before it takes hold again. For that moment the input is moving and the output is not, so what reaches you is the crossing rather than the motion you asked for. The smaller and the more frequent the reversals, the larger a share of the movement that crossing becomes — which is why a mechanism can feel fine on a long sweep and coarse on short, quick ones.