You now say that there is in fact reflex in the bow... doesn't matter how the reflex gets into the bow, its there! Your bow has picked up reflex due to the sinew shortening when it dries (im assuming that's what happens, never used it so I don't know) which leaves the horn in tension... im putting reflex into mine using a form, also putting the belly into tension.
I'm very aware of what the core does in a bow and second moment of inertia. I make a lot of heavy draw weight tri-lam English warbows and have found that denser core timbers help to retain glued reflex.
As far as horn being less stiff than belly woods, I'd have to do a small bend test to compare them since I've never used it in bending., However, its potential for strain in bending is not what im looking for for this project. The radius of curvature along the length of my prod will be much greater than that of the limb of a turkish bow for example. I want horn for its compressive crushing strength rather than bendability.
I have found a source of sinew so I will be doubling my order or horn (if I can actually get it) and making 2 prods. One using a sinew back and maple core as you have suggested and one as an experiment with a hickory or bamboo back, JUST to see what happens with it.
I have a degree in Civil Engineering so Im very familiar with things bending and how they work, and I wanted to try something different and see what happens. We learn more through failure than success, hence my experiment.
Colin