I'd find this interesting as the handles for all 3 of those bow types are quite different e.g. A recurve is more a pistol style grip that fits the hand, whilst the ELB is a continuation of the bow itself, and a horse bow is curved, and again is usually a continuation of the bow itself.
You might be limited in design as well as ELB under AGB/BLBS rules have limits on bow shape and as an ELB needs to be wood how would you retain it in the handle without damaging the wood?
Not really, it would lead one onto the path of man made materials, nuts, bolts and fibre glass.
I do have one half of a take-down bow to which I may add a totally different style limb to make a weird hybrid just for novelty/experimental purposes.
Mechanically, reliability is inversely proportional to the number of parts... simple is best.
Here one being made... and then smashed! Bowyer's Diary: Take Down Sleeve Success Bowyer's Diary: "TakeDown" Explodes!
It's probably quicker to make two bows than to make what you describe and there could possibly be confusion regarding what class such a bow would be shot under... especially if you had a horse bow lower limb and a longbow limb as the upper
"Industrial" design implies mass production as well as the stylistic side of it.That's more applicableto a modern recurve. Longbows and real horsebows are hand built, or made in small batches.