Hi Yohann,
I fully agree with you about the similarities.
The second picture shows also similarities with small holbein patterns as well as with the extant rug fragment in FIG 1, below. (Supposedly «Nasrid», thus before the fall of Granada, Sovereign Carpets, E. Concaro & A. Levi ).
FIG 1.
Your first picture (silk curtain) features a most «carpet-like» pattern with its kufic main border and the two field-covering varieties of 8-branch stars.
Field of various stars with six- or eight branches seem to be a rather frequent pattern in Spanish rugs and, as you just showed, also on silk textiles.
Other examples are FIG 2 (Extant rug given as being fifteenth century, Alcaraz, MNAD Barcelona ) and FIG 3 (painting, ca. 1500, by P. de Berruguete, Annunciation, Monastery of Miraflores, Burgos).
FIG 2.
FIG 3.
Foot Note: Knowing that Turkotek counts a large number of fanatical Turkmenomaniacs, starting with our respected Lider Máximo Steve, I have been looking with utmost diligence for anything even remotely «Turkmen» in Renaissance painting. It is with great sorrow that I must confess my failure.
The rug which comes closest to justify one of our famed volcanic discussions is the upper one by P. de Berruguete (FIG 3), but the rumors about this painter having been prisoner of the Salor are totally lacking truth (I know, I just invented it
).
Best regards
Pierre