I think that eating low carbs foods definitely work best with IF and OMAD, because it is the sugar and starches in carb foods that causes an insulin spike, and insulin is our fat-storing hormone.
It stands to reason, therefore, that the less insulin we are producing, the less fat we are storing, and we also then burn the foods that we do eat as fuel for our body.
When you are burning fat, your body has a large fuel source, so you simply do not get the hunger pangs like you do when you are fueling your body with sugar.
You can only store a small amount (comparatively) of sugar in your body to use as fuel, so you get hungry every few hours for more fuel.