Legalistic definition: longbow, selfbow, recurve, etc. Keep it simple.
Gear aside, if the intent is to force the hunter to operate within the advantage of the quarry (say a deer at less than 60 yards), then it's traditional in my book. Whether with a rifle, musket, compound, crossbow or any other piece of equipment, the tool is just a tool. It's too tempting to push the limits of the tool when we're in pursuit. So a very limiting tool, like a traditional bow, is a great way to keep things in check.
I have a neighbor who had to give up the recurve due to some shoulder problems. He now hunts with a single shot rifle and, according to him, usually takes his deer at less than 30 yards. To me, that's way more traditional than the local archery shop owner who brags about his 80-yard shot on a deer (compound guy). Traditional tools are fairly easy to define. Traditional hunting is more qualitative and harder to legislate.