Does the ZED 2 camera have noticeable trouble identifying human motion and depth imaging during rain, snow, or other particulates passing through its field of view?

The ZED 2 doesn't have any problems while detecting the human motion or depth imaging under the environment you have mentioned.

For accurate tracking of the objects, it is important that the object is in the line of sight for the lenses and sensors to detect.

 

Additional Resources:

Does the ZED work in low-light environments?

What is the range of the ZED and ZED Mini?