Isn't smoke cured Burley how Dark Fired Kentucky happens?
Yes, to over simplify it. It's air cured a little first I think, then further smoke cured, I can't remember and I don't feel like looking it up.
Latakia smoke curing is different than ODF smoke curing. The species of woods used changes the smoke flavor, as well as anything else they may add to the smoke source (like herbs maybe?). Kind of like with barbecue, the same meat seasoned and smoked the same way will taste different when the wood smoke source is cherry versus oak or mesquite or something.
As to smoking other tobaccos than orientals to make latakia... I don't know if that would count. Pork ribs aren't going to taste anything like beef brisket if you smoke both on pecan wood for example—just because the smoke source is the same, doesn't mean the end product will be when the base item being cured is different. Latakia is a particular kind of flavor, and if you change the base tobacco or the smoke source, you're going to leave that flavor profile and then it would be arguable that you'd no longer have latakia.
I also don't think smoke curing cavendish would be a very good idea at all, if it would even take to picking up the smoke flavor.