LBM = Lean Body Mass
I say higher rep range because generally speaking. Low reps equal high weight. High weight equals more repair needed. In a calorie deficiencie its possible you would not have the amount of specific nutrients to maintain this constant repair. So in "theory" It would not be a great idea to completely "break down" the muscle while in a calorie deficient state. Your goal isn't to build more muscle mass its to retain what you have. So sticking with the low reps high weight will only place stress on your muscles that you "may" not be able to repair correctly while in the negative in terms of calories. Understand what Im saying?
I actually disagree with that statement. If your using a higher rep range for hypertrophy your going to break down more muscle so it can repair better; thats why people who bulk up use this rep range. When you use a lower rep range with heavier weight your giving your body a reason to hold on to that muscle because of the heavy lifting so you will be able to at least maintain your strength while cutting.