What I'd like to be able to do is insert a new preset in the existing preset list.
When you say you'd like to insert a new preset in the preset list, I guess you mean if you're dropping a preset at position 5 you'd like everything above that to shift over by one? No, H9 Control doesn't support that at the moment. I can understand why you'd need to do that sometimes, but that would also lead to the last preset being dropped off the list if a preset were assigned to the last position.
I'd also like to be able to take the preset list and reorder the existing presets.