Why are you going for lean meats? Most low carbers encourage consumption of fattier meats, to encourage production of ketones. Unless you're trying to limit your omega 6 intake, I don't see how it would be beneficial to eat lean meats on a low carb diet as a lower fat diet would limit your body fat mobilization and encourage muscle wasting through gluconeogenesis. But if it's going well for you, power on. I however, have lost body fat and maintained lean body mass by eating lots of fatty meats, pork rinds, cheeses, butter and avocado. I was never obese however, maybe a bit skinny fat with a bit of a beer belly. People need to change their thinking about saturated fats and fats in general (except trans-fats from seed oils, those are always bad).