When using 0,0,0 as offset, you KEEP the georeferencing data. you need to press the center button to center all near the cartesian origin. using 0,0,0 stores very large coordinate values, thus the 3d display runs into precision issues. Thus, the models look broken.
What other export settings are you using ? Are you exporting one model per shape ?
Maybe a few screenshots would be very helpful ..
Let me know ..