Unfortunatly, it seems that SSF has the same problem with PDS as the hacked girigiri did. In the battles where there is speech, it will sometimes "freeze" (aka, continue forever at the end of the speech, playing music and scrolling the background, etc, but you can't proceed).
I was all ready to play through it again finally too, this time hoping without having to redo battles 50 times, but oh well. Gotta pick up another real saturn sometime.
Since two emulators with completely different code/dev types have this problem, makes you wonder.