With Lange, what you give up in finishing you gain in technical intrigue and variety (remontoire's, jumping seconds, fusees, interesting stop seconds, etc.). The AdC philosophy, on the other hand, is to turn up the performance of classic architecture with the maximum amount of hand finishing/adjustment. They are both great options, each offering something different.
One of the things I admire about AdC is that they don't constrain themselves by a specific national style, choosing instead to execute the movement in their own house style. It's a subtle style that gets better the closer you look.
Cheers,
Brandon