ah, well, good question, huge question. the answer could go on a while......
i'll try to be brief.
there are hunting knives and hunting knives. modern day hunting knives are used post hunting, for processing game. earlier generations of hunting knives were big ferocious things used to administer the coup de grace, some resembled small swords, called hunting hangers. we'll stick with the modern variety for simplicity's sake.
typically, a modern hunting knife will have a smaller handle, sometimes a more highly figured or textured handle, such as stag antler. because these knives are meant to be handier, more dextrous for dismantling game. trophy hunters may want to preserve the skin, or the head. so making fine cuts becomes a higher priority. rabbit hunters might use a tiny neck knife. but generally these are mostly all low torque low force applications. apart from popping ball joints out of sockets....
a bushcraft knife is used for carving, splitting, feathersticks, these higher torque/force applications require a firmer grip, so the blades tend towards being slightly chunkier, with slightly burlier handles that are less tiring to hang onto. these handles will lack sharp edges and figuring, so they avoid making blisters when pushed hard for longer periods of time.
many hunting knives will have hollow grinds terminating in very thin edges. these thin edges can end up getting wrinkled when pushed into higher force woodworking applications.
but all that said, generalisations are generally rubbish. at the end of the day you need to judge each knife on its merits and what you want to do with it. so yeah, some hunting knives will make great bushcraft knives. some really really won't.
cheers, and.