I don't know if "normal" is the right word. Maybe a double negative is better, i.e. "not abnormal".
I have had such symptoms. I am not sure of the scientific details so am only going to give my impressions. I'm sorry if this seems hocus pocus but it's all I've got.
A few times while walking/hiking I've gotten brain foggy, slight disorientation and shakiness. I've surmised/guessed that it was low blood sugar. When testing my BS a few dozen times it has been low but not too low. Low BS instances have been so circumstantial that I've have not had a BS meter with me at those specific moments. This was after about six to eight months on Atkins.
Some time later I found out that the citric acid used in my cafeteria made scrambles eggs was preventing weight loss. When I substituted whole eggs for carton stored scrambled eggs, I started losing weight again and have since not had another incident.
Here is what I'm guessing we have in common. I think you during this induction-ish phase and me while eating citric acid preserved scrambled eggs are not producing enough ketones. These ketones serve as a substitute to the brain and CNS when BS is low. With them, everything is fine. Without them symptoms of low BS are shown.
Looking back on life, I suspect I've been self medicating using carbs to compensate for frequent low blood sugar. A LC diet for me is just fine. I am much healthier all around. I have had to learn to adjust it a bit and hence tend to dismiss "my way is the only way" type interpretations of LC. In your case I would recommend the same thing. There might be certain foods or combination of foods that are not ideal.
I think you're on the right track. Data is good. Data separates the true from the untrue even if we don't understand it.