I'd ask Zahra - I've googled TRO with no result before, but wasn't seriously into buying it at the time so didn't ask! Understandably, there are a few typos on that site.
As I understand it, my Rose one (from Les Senteurs) is R.damascena (Bulgarian) & it's the best damascena that I've ever tried. At the time, it was remarkable value.
It does not resemble Taifi rose.
I suspect (from the price/alternatives) that it's this one - these people also sell it:-
http://www.allaviolettaboutique.com/...2ml--5613.aspx
Surrati do an amazing Rose Taif (ward al Taifi) oil which costs about $30/6ml, not Amouage quality but stronger than the rose mentioned abov and way better than AO Rose Istanbuli. It has that sparkly lemony touch of Taifi.
Good luck!