You are mostly correct, I was sort of joking, but in truth there are probably other influences involved. I think I just saw a world record bass, it was fat. Animals that store fat are likely to be the overweight ones, warm or cold blood.
When I over fed my pacu they got fat, they had shoulders and jowls. It was gross when they were cleaned, the fat was , well fat. But I wish I had tried frying something in it.