Tam:I have your so called Green Greek,traced, from Greece ,identical to yours,and it came,to me under the Vasilika Sika Name.
However the Vasilika Sika Name is used in the US,for a fig that is ,called Dalmatie in Europe.
The same Dalmatie fig is found under other names here,and some are:
White Greek,Stella,San Pietro(in UCDavis catalog),etc.
One other poster from Greece posted last year ,2 kind of Vasilika Sika:
The white version,Identical to your fig and mine.
Dark version,a,much more elongated cauducous fig that need polinnation.
He also pointed out that the white version is much better tasting and a better over all plant.
So here you got my opinion.
I do have Dalmatie,and had in the past other similar to,Dalmatie figs,and ,can point out that is an excellent tasting fig,but the Vasilika Sika you and I have is indeed a notch better tasting,tho it ripes 2-3 weeks after Dalmatie.