The premise of the study is wrong. It shouldn't be from this narrow racist, misogynist 'othering' perspective of:
'Why do foreigners like fat birds?'
but:
'Why do white men like skinny women?'
Therein the truth of the socio-economic conditioning of sexual preference can be found.
This idea that ancient figurines of corpulent women is about attractiveness is also very prejudiced and unscientific. Surely those figurines, like most others are to do with protection and hope in an uncertain world - protection from starvation, etc. The idea that people sat around carving them some celebrity culture idols because they fancied them, shows a total inability to think outside the box of the socio-economic box.
I mean come on, people don't change their actual preferences just because some coke-fuelled twerps with delusions of shaman status pontificate in their isolated bubbles before announcing to the world 'next seasons colours are', 'the look to go for is', etc - eg- 'fashion'. People seek to fit in with fashion, and what they associate with wealth and status are influenced by fashion, but what they deep-down find attractive has absolutely bugger-all to do with it.