WINE is just an emulator. Some programs work fine when you use it, but many other don't. May be
Kindle for PC works fine. May be you just need to find the PID from it, but I don't know how to do it.
Another problem is that I don't know how to find PID for
Kindle for Android.
If you buy your ebooks on a PC, Mac or
iPhone, there shouldn't be any problems.
Right now I can only suggest to keep bugging the developers of DRM removal tools to support devices that you have.