Our webmaster has copied the photos and placed them below.
RK is not familiar with this specific fragment so until we would see it in its entirety we will forgo any conclusions or answer to your query.
However, we are familiar with this type of early Turkish/Anatolian rug style called "wheel rugs" thanks to the spoked circle their inner medallions always depict.
This one looks considerably early and we will be glad to comment further upon seeing the entire fragment.
And BTW we do not agree with the idea the inner medallion, what the sender refers to as the "center surround of the star", was originally 'asymmetric'.
The accompanying images are of a Fustat fragment in the Keir collection, and a digital manipulation of it. (The center surround of the star has been rendered inarticulate as it was clearly asymmetric originally, and, to me, a puzzle.) I wonder if you've had occasion to give thought to this fragment, and would appreciate any results of that you might share.