To be clear, when you mention CT's recommendation, and the term 'cutting' in general, are you (or whomever) talking about losing a lot of fat very quickly and to low BF levels as opposed to just 'losing some fat slowly' (I don't like the word "diet").
I would treat an all out 'cut' (eg. 12-16 weeks to competition date) much differently than recomping or slow fat loss.
Is 'calorie deficit' a calorie deficit a calorie deficit or does one have to take into account the intensity of the fat loss?
Whenever I hear "Someone (CT) said this or that", I'm always wary of not really understanding the complete context of the recommendation. Most of the time I find that it was mentioned within a certain context and not meant as a generality.