It's better to get rid of nationalistic ideas out of tobacco (as well as other plants), all Oriental varieties used to be named as "Turkish" in the past (because of the situation explained above). The term "Turkish tobacco" is not a nationalistic term, this is how merchants used to call to differ them from other tobacco types. Now all of this type tobaccos are considered/called as Oriental, including Hungarian (I don't know who invented this class, a total made up). But if you want to differentiate Oriental varieties from one to another you may use terms like Turkish Oriental, Greek Oriental, Macedonian Oriental, Bulgarian Oriental etc., this is how tobacco companies sometimes call them nowadays.
Calling Turkish to those varieties (Turkish Orientals) is a cultural/traditional/commercial matter coming from the past so it's not wrong. But if you call a Oriental variety grown in Hungary as Hungarian, this never make sense (in modern day terminology). I think because of this, Sky wrote " Oriental/Hungarian " there and I think it is very well defined like this.
BTW, Bitlis is a Turkish variety.