Tanyeli´s dancing with huge orchestra is not very typical for Turkish dancers... and I don't know if she has done it often but anyway that is very beautiful. There is a clip of her with Ebru Gündez on YouTube:
http://www.youtube.com/watch?v=1nnOcFv1TXc
Also Asena has danced with classical music but this time it was more "western classical" when she danced with pianist Anjelika Akbar and drummer Misirli Ahmet in "Bach á Orientale" - clip of this can be seen at Anjelika´s web-page under title "orkide":
http://www.anjelikaakbar.com/scripts/multimedia/?d=3
But not all Turks can dance karsilama - that rhythm, music and dance are more typical to Trakia and western coast (Zeybek dance also uses typically 9/8 rhythm) and to Romani people and in other areas people mostly have no idea about how to dance to this rhythm (my Central Anatolian hubby have no clue even though he can dance great Horon and Seymenler dances)... anyway, most dancers come from Istanbul so there it is more common to know (but I have never seen any current famous Turkish dancers like Asena, Tanyeli or even Didem dancing karsilama so is it that they cannot or just for reason or other just do not like or whatsoever

)