So that others in the future won't run into this problem:
The app can be made to work, but you have to install outside files. (Basically, you need copies of riched20.dll and oleaut32.dll from a "real" Windows machine, whose version matches that of your bottle, i.e. Windows XP DLLs for a 'winxp' bottle.)
Put those DLLs into your app bottle, in its c:\windows\system32 directory, overwriting the WINE stub DLLs.
That's probably all you need to do, but I'll have to test and reproduce everything.
Since it requires outside DLLs, that you can only get from a legitimate copy of Windows, this application will probably officially be "unsupported" for the foreseeable future.