I can't claim to be an expert on Geisha after reading a couple of books but the hairdoes in the photo are definitely wrong.
I find it very difficult to believe there are *no* Japanese actresses capable of playing a Geisha.
Geisha are very touchy about the prostitution thing, and rightly so. Geisha sold their skills as entertainers not their bodies. Now it is true that in the bad old days a novice Geisha (Maiko) would be ceremonially deflowered by a client before starting her career, (this is no longer done). And it is also true that Geisha sometimes become the mistresses of important or wealthy men but they - and I - feel there is a difference between being kept by one man and selling yourself to many. BTW this practice too is supposed to have died out.