I’m not sure about the actual difference in height between the two, but the Lange has a cupped case back therefore it’s a bit wobbly, compared to the flat case back of the Patek.
Also it you compare the case design of the two watches, the Lange is a bit more round vs. the flat case of the Patek.
The 5170, just slides under the sleeve, and stays in place with minimal movement ( wrist size applies).
Thank you for your comment!
Best,
Zsolt.