Protein’s insulin response and use is different that carbs. The problem is in combining proteins and carbs where the effect is massively magnified causing a larger and more sustained insulin response. This causes more hunger and clearly keeps you out of ketosis.
If a fat adapted body has access to dietary and endogenous fat for fuel, it really doesn’t need to break down amino acids except in cases where it urgently needs glucose or to replenish muscle glycogen. To do this, it has to deaminate (remove the nitrogen compound) and break down the rest to use in glucose making. This is not a preferential use of amino acids but it is what the body does if glucose is low and it needs a sudden burst of it.
If the demand rate is slower and controlled, it will be fine taking the glycerol backbone off the fats to make a little glucose and converting the 3 fatty acids into energy or ketones.
There’s also a constant cycle of breaking down and rebuilding tissue that needs a flux of fresh amino acids. As long as you’re getting enough of the 9 essential amino acids, you’re in balance.
So when you eat protein on Keto, you get a narrow and low insulin spike that signals the body to use these new amino acids for the building part of the cycle.
Dr Bikman’s results show that if your glucose is low (Keto or fasting), the dietary amino acids will not spike insulin because doing so could likely cause hypoglycemia… fainting, death… instead, it releases glucagon to provide the energy needed to assimilate the fresh amino acids. It takes energy, even to make energy. If you’re in Keto, the response is mild… in fasting, it’s strong because it needs to incorporate the amino acids into the rebuilding cycle vs. having to catabolize its own tissue.
If you consume too much protein though, and your use is low (not exercising or weightlifting to build more muscle), it decides to store the excess anyway. I’ve personally gained both fat and lean mass while not eating any carbs… two ribeyes a day will do that. 
That’s been my understanding and experience anyway.