Even with the metabolism of fat stores, you must maintain high enough calories (out) to continue to lose weight. To maintain high enough calories out, you have to maintain high enough calories in. ( Calories in = Calories out) Plus you need to restrict carb calories, and you need to restrict protein calories, to avoid high insulin reactions.
I don’t believe you can reach ideal amount of calories in, for your BMR, using your formula of low fat, low carbs, and moderate protein.
As i understand it, the body does not count fat from your fat stores as calories in.