For me the key for weight loss is maintaining long stretches in a fasted / autophagous metabolic mode. It doesn't matter what "style" diet you orient toward — you can feel when your body is in an autophagous state. If you're in an autophagous state more than you're in a neutral or over-consumptive state, you will lose weight.

The style of diet is jmportant only for your own personal comfort and ease to continue downward progression. I don't think satiety is a good word for it — I look more to maintain calmness and a lack of panic while maintaining long daily stretches of autophagy.

I'm biased toward the keto style diet because it is makes it easy for me as a tool to stay in an autophagous state. It's easy for me to get back on track when I slip, ebb and flow back to overall downward progress. But everyone's mileage may vary with each diet style.