That still doesn't make any sense. When you consume fat, carbs, or protein, those cells do not directly become part of your body. They're broken down and are either used as energy or reassembled into different types of cells based on the body's needs.
And to add onto that, it's insulin the protein that sends the signal for your body to store fat.
...and guess who's the bigger culprit for inducing insulin production. Hint: It's not fat.