Andrew, thank you for the very detailed listing of all the variants that there exist. You can actually put all these instruments with their notation and sounding specifics into Dorico’s instrument library. The only “difficulty” I see is, give all those variants a unique name. But it is possible - and you are probably one of the few people, who can manage this.
Here some information about different kinds of horns: Concert pitch v. Transposed pitch: But what about the octave? - #11 by pianoleo