No, there is no value.
During bonking gluconeogenesis will convert liver stores of polysaccharides into glucose in an effort to increase or stabilize your blood sugar, thus allowing the pancreas to provide insulin. Without insulin, your body can't uptake amino acids to build and/or repair muscles. When the liver is near exhausted this glucagon converts any free amino acids into glucose , then it goes after muscle mass converting protein into glucose. Your brain needs something like 120 or 150 grams of glucose and the body will be in a crises mode trying to provide it. Replenishing muscles with glycogen is the last thing your body is concerned with. If starvation continues ketones can be used as fuel by the brain but at this point, you are losing muscle mass and your body is in a survival mode. Not exactly the type recipe an athlete needs. Its never good to lose muscle mass, or stress your system to its limits.