I've noticed saturated fats trigger a far greater sense of satiety for me than unsaturated fats, vegetable oils in particular, which I feel I could eat forever. So my personal estimation is sticking to sat fats over unsat fats will result in eating fewer calories.
This might explain why cheese and potatoes are staple dishes in a lot of cultures - that's kinda maximizing satiation isn't it?
I actually don’t think so. When you eat fat AND carbs, you tend to eat more of each than if you would have eaten them separately. Source: I’m Swiss and we have dishes like Fondue or Raclette, where each serving is often more than 200g or more cheese. Which would be a lot on its own, i.e. without bread or potatoes. Might also be because it is melted cheese though.