A little late to the party, but I was browsing around and came across this.
Something to keep in mind about hunger, is that it is not triggered just because you need food ( energy sources ) it is also triggered because your body needs some essential nutrient it is not getting enough of.
I know you are saying you are restricting your carbs ( eating Keto ) and supplementing with certain things, but that doesn’t mean the supplement are bio available, because that depends on what is ingested along with them.
You might check out Cronometer…
It is very useful for tracking nutrients. However, keep in mind that a lot of nutrients in a lot of vegetables are not all that bio available… Vegetables
I would suspect you are not getting some essential nutrients you need, resulting in both your hair loss and your hunger.
You might consider eating more meat, as it is more nutrient dense and complete that most vegetables.
Keep in mind that just being in ketosis is not what makes this way of eating, a healthy way of eating.