This seems pretty accurate to me, weight loss is 100% about a caloric deficit.
The type of weight loss can, of course, be manipulated by different macro breakdowns.
This has been my experience - that both calorie counts* and macro breakdown are important when I try to either gain or lose weight.
I know some people here say calorie counts are rubbish, but for me, they aren't. I need to watch my total intake as well as the composition of that intake. The difference between my maintenance level low-carb days and my "make 179.9 on weigh-in day" low-carb days is in kcals, not carb counts or even carb percentage.
Still, kcals isn't the only thing or even the main thing; I think you need to start with "what am I eating" and move to "how much of this do I need to eat?" rather than the other way around if you want to maximize the amount of LBM you hold on to...or add.
* Usually cunningly disguised as macro targets for the day...