The Patek local/home time setup is superb for travel. I also love he it sits on smaller wrists like mine.
The Lange is such a pleasure to look at and great feel for time some changes
BUT
The Lange changes the time zone in the small dial, not main dial so for me they got it wrong. I want to read the time where I am (main dial) and have the reference home time (sub dial) not the other way around. So the Lange is cool when you are home and want a reference time elsewhere but less cool on the road.
I am being very picky. Both are great whether home or away - I would love to travel with either of them!