Why with LiDAR do we talk about precision and accuracy, what is the difference?
Accuracy is the geographical precision, so it determines how far the point is offset. An accurate point cloud will be close in average to the actual position of the environment it describes.
Precision is the repeatability of the measure. In LiDAR for UAV you could consider it to be the thickness of the point cloud: A precise system will output a very thin point cloud, with little noise.
The following image represents accuracy and precision of a point cloud:

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