This could similar to the situation with Handel's Watermusic and
Fireworks music. In (e.g.) the Fireworks music,
I think it's only the Fireworks Music which is written out in C - the Water Music parts are written out for horn in F (and horn in D in the D major suite)
I finished up producing a set of parts for the Fireworks Music written out for Horn in D - it's a pain to read them as they are supplied by most publishers who have repeated Handel's version (especially if you are playing them on a natural horn.)
I agree with Robert - if the parts are obviously meant to be played by a horn in G, then supply parts written out for horn in G.
All the best,
Lawrence