Lowcarb is just magic.
Controlling calories through conscious deprivation within diet is the overwhelming no-brainer of our culture and that doesn't really work, as the % of diet success shows. So even if the technical detail might "end up amounting to that in a rather complex way we can't really even measure let alone prove at the moment," the reality is that going around saying it sounds exactly like what our culture spouts with
the same words, but a different understanding of "why" those words mean something and "how" that is to come about. Given language exists for shared cultural understanding, maybe it'd help to find new language for expressing that. You can't really use those words without a mountain of semantic baggage falling into the discussion that torques understanding.
If you eat 1500 calories lowfat, starve yet lose muscle and not fat, vs. eating 1500 calories highfat, feel great keep muscle and lose fat, then to the semantics of communication, "caloric deficit" was not the issue to the individual's understanding, the composition of the dietary intake was.
In that case, "eat less carbs, more protein and especially more fat" is what is "working" on the descriptive level. The micro-detail of why that might be working, based on a zillion complex and not so complex body processes, is a bit of a different subject of course.
I do think that reducing insulin, which causes less repression of the USAGE of energy from the fat cells (hence the body may be "burning more calories" merely because finally it CAN -- for all I know, there is nothing that happens to 'make' it burn more calories, but rather, that something CEASES to happen which is 'reducing/prohibiting' its burning more calories), is probably the key component. This may result in 'caloric deficit' at the end of equation. But since culturally the "implied meaning" of "caloric deficit" is based on standard charts for BMI and 'caloric requirements' and "eating less than that," using that terminology (even if technically correct) could be a little confusing.