TFM often seems to endorse a low carbohydrate diet for weight loss
There is a minimum amount of carbohydrate needed for brain function. Go below that and your body starts destroying it's own protein to produce carbohydrate.
Any exercise above a certain intensity for a certain amount of time or longer requires carbohydrate fuel and in the absence of carbohydrate in your diet results in your body destroying it's own protein to produce carbohydrate or inability to exercise at that intensity
What does it mean to consume carbs without depositing them?
Normally carbohydrates transform into glycogen which your body uses for long duration high intensity exercise
Excess carbohydrates that do not turn into glycogen and are not used for metabolism are converted into fat
I do not know what you mean by deposit them or why you would want to avoid depositing carbs.
By depositing do you mean converting into fat, converting into glycogen or something else that I do not know?