Is there a quick way to cycle through inversions for a chord?
Yes, as is shown the link above, but you’ll have to adapt to Scaler’s nomenclature and other factors. Scaler will often change the name of a chord rather than showing it as an inversion. I asked for “custom names” for chords. The name Scaler gives a chord is related to what Scale is in use. I’ve adapted to Scaler and don’t really care what name Scaler assigns to a chord as long as the notes I want are played.