Near immediate moderation of alcohol consumption in many people who are taking this drug has nothing to do with what or how much they eat. It is altering the brain function in some way.
I think I would count alcohol consumption as “eating” in this context.
The motivations behind alcohol consumption and food consumption aren't the same. The one "link" between them is that both are susceptible to addictive triggers. I would say most obese people essentially function and think like alcoholics, except their coping substance is various unhealthy foods.
I'm not sure what point you are making here.
When I'm dieting I crave beer. When I'm not dieting I prefer Gin or Scotch in moderate quantities. My body appears to know that alcohol contains calories.
Your body appears to not know gin has much more alcohol than beer...