It's an interesting concept but I think not.. At least, I've never heard of any evidence/suggestion even that bad eating habits are hereditary.. I'd be surprised if there is any link myself.. But on the other hand, if you take the template of the drinking issue being hereditary, there's no reason why it shouldn't theoretically apply to food..
I'd have to go back and check, but I think there may have been some studies on adopted kids and separated twins that ( when you remove the environment / learned behavior component ) suggest a strong genetic link - a ' family history ' if you will - to alcoholism.
I think this may be one situation where nurture takes over from nature, in that, the kid sees the parents reckless eating behaviour and then copies, as children do
If nurture carries the day then you would expect adopted kids of alcoholic birth parent(s) - raised by non-drinking parents who adopted them - to be at no greater risk of alcoholism than anyone else ( i.e the general population ).
Similarly, you would expect adopted kids of obese birth parent(s) - raised by non-obese parents who adopted them - to be at no greater risk of obesity than anyone else.
Wonder if that is really the case ? I'll have to look into this a bit more.
.. As for genetics (i.e. via DNA), I don't think that plays a huge part.. Then again, is this situation nature or nurture? :- baby in the womb who at some point during pregnancy starts to get a taste for sweet stuff that the mothers eating.. Surely that's nurture?
Well, it isn't sweets per se that make you obese / fat ...it's excess calories.
So, it's hard to say.
Then again, maybe the mother has an abnormal genetic disposition to crave sweets - or alcohol.