Experimenting with inversions in the chord editing tab in the inspector, I have a midi track for background vocals assigned to four different midi channels to trigger four different female voices in Kontakt. If I want another chord inversion and press the down arrow to get this, the uppermost voice will turn into the lowest voice. Hence the soprano now sings the lowest note of the four women.
Actually, even if it is just a plain piano chord you have recorded to a single instrument, the same thing will happen. So if for instance you have accentuated the lowest note with with more velocity, it will now be the second lowest that is accentuated.
It may be simpler for a programmer to just move the uppermost note down to be the lowest when doing downward inversions. From a musical point of view, however, it only makes sense to move all chord notes one step down. It may require a couple of extra lines of code to do this, but please fix it, Steinberg.