In Windows the Dropbox client uses python25.dll and the MS C runtime libraries (msvcp71.dll, etc). On OS X the Python code is compiled bytecode (pyc).
My guess is they are using a common library they have written then just have to use different hooks for the different platforms.
What method of development is this? It clearly isn't IronPython or PyObjC. This paradigm is so appealing to me, but my CS foo and Google foo are failing me.
Dropbox uses a combination of wxPython and PyObjC on the Mac (less wxPython in the 0.8 series). It looks like they've built a bit of a UI abstraction layer but nothing overwhelming—i.e., they're doing their cross-platform app the right way.
They include their own Python mainly because the versions of Python included on the Mac vary by OS version (and Dropbox supports back to 10.4 IIRC); also, they've customized the Python interpreter a bit to improve threading and I/O behavior.
(I do not work for Dropbox or have any inside knowledge; all I did was read their forums and examine the filenames in site-packages.zip
in the Dropbox app bundle.)