The method used to remove DRM from files these days requires the user to have a valid license for that file. You would play the file (output to file) and it would no longer have DRM. So, I'm guessing the only way AnyDVD could do this would be to block a DRM bit to the programs that could write DRM-Free.
Now, while I just pulled that out of my ass, and it sounds easy. Who knows how easy it can actually be...
Also, I don't know if SlySoft really wants the music industry after them.
Should AnyDVD be renamed to AnyDRM? hehe, wait... that could work. AnyDRM could be a program that includes AnyDVD and a AnyCD. Wow... Moment of clarity.