It is beyond doubt that a charming fiction (or error) spreads faster and farther than a boring truth. Check out this brief list of some fictions spawned by Bieberstein's errors. It does surprise me, just a bit, that Bieberstein's "rocky southern Taurus mountains" turned into "eastern slope of the Caucasus Mountains".

MacIntosh: The Flower-Garden p. 443 (1838)
Provins or Cabbage Rose
It is known for certain that Bickerstein discovered it with double flowers growing on the eastern side of Mount Caucasus (Taur. Cauc. i. 397).

Paxton's Magazine of Botany, and Register of Flowering Plants p. 34 (1848)
[From "An Essay on the Geographical Distribution of Plants," by N. I. Winch, Esq.
On the other hand, the Provence Rose (Rosa centifolia) and the Officinal Rose (Rosa gallica), said to be from the south of France, but most probably originating from Asia Minor, and the Damask Rose (Rosa damascena) from the same country, are to be met with in every garden; nor is the Musk Rose (Rosa moschata), of the north of Africa, very scarce.

[The original Damascene rose was Rosa moschata. The more common pink Damask roses are probably derived, long ago, from seeds of the Musk rose.]

The Book of Garden Management ... (Beeton's Garden ... - Page 600 (1870)
Samuel Orchart BEETON
As we approach the North and West, we find in the Caucasus Rosa centifolia. ... Rosa ferox mingles its grand red flowers with it, and Rosa pulverulenta is remarked on the declivities of the peak of Mazana, a spur of the Caucasus. [Bieberstein (1808) wrote that it lived in the hills around Narzana]

Boissier: Flora Orientalis vol 2 p 676 (1872)
15. R. centifolia ... Hab. in nemorosis Caucasi orientalis (ex M.B. Taur. Cauc. I. p. 397)

Bulletin of Miscellaneous Information - Page 193 (1894)
Omar Khayyam's Rose:
The plant proves to be a form of Rosa centifolia, the sweetest scented of all the roses, from which the cabbage rose, the moss rose, and the pompon are derived. The native country of the plant is not known with certainty, but it was considered by Bieberstein to be truly wild in the Caucasus, and was found by Haussknecht in a semi-double form at an elevation of 3,500 feet, amongst the mountains of Assyria.

A Practical Treatise on Animal and Vegetable Fats and Oils: ... p. 512 (1896)
William Theodore Brannt
The Crimea is also well adapted for this purpose [collecting rose oil], especially as Rosa centifolia is said to grow wild in the mountains.

The Century Dictionary: The Century dictionary - Page 5230 (1911)
White rose. (a) The badge of the house of York. (b) Specifically, Rosa alba, a garden rose, native in the Caucasus.

Gardeners' Chronicle of America - Volumes 48-49 - Page 203 (1944)
Rosa centifolia:
A plant explorer about 1800 found it growing wild on the eastern slope of the Caucasus Mountains, between the Black and Caspian Seas.

Rose Growing Complete (1976)
E. B. Le Grice
This Rose de Mai was a hybrid between R. centifolia (from Asia Minor) and Rose de Provins (R. gallica) which is said to be indigenous, although it is believed that Theobault IV brought back from Damascus to Grasse a type of Rose de Provins with a reddish purple flower.