Would it ever be possible/likely to update H9 Control app to export presets/lists/backups to iOS Files, Dropbox, etc? And/or, export in such a way to streamlining sharing between the Control app and AUv3 apps?

Currently, you can export presets/lists by emailing them in H9 Control. It would be great if users can export to the Files app and import from there though. We will look into that.