Scott,
May be I read you wrong. From your post, I got the impression that you do not want the chords to change when you solo/improvise with the right hand. My point was, the chords SHOULD change as your right hand play along and Ketron's AUTO and STANDARD is working as expected. The problem with SD1 is not the chord recognition methods. It just need to recognize a longer list of chords. This should be an optional mode and most players would not need this.
C-D-F-A-E is Dm79 and should not be C13.
Henry