You are mostly correct, in terms of effectiveness.

Also good are exercise (building lean muscle mass), reducing carbs (a la keto, paleo), and intermittent fasting (keto).

There are other health benefits to cutting carbs, especially HFCS: reducing obesity, heart disease, diabetes.

Just think of the strategies as complimentary. And do what works for your body (eg consuming too much potassium can worsen some heart conditions).