Anet A8 right Z drops 2 mm during print
My guess is your Z guides are not strictly parallel because there's no instruction how to install X guides correctly. When you install X guides, you can easily make horizontal distance between two Z-mounts either too small or too large, which puts extra stress on one of the Z motors. Move your extruder to home position, measure distance between bottom ends of Z threaded rods and between top ends, and try to adjust right Z-mount position on X guides so that these two distances become equal. Use hammer, but be accurate with plastic.