Dr Westman, who did his initial clinical research with Dr Atkins' clinic and has had his own clinic at Duke for over a decade, has never changed the rules...add just enough fat for taste and satiety. You want to be burning fat from "your own on-board pantry".
His answer to How Much Fat: https://www.youtube.com/watch?v=JRHS8oUDXFc We don't track macros, so there is no such thing as "getting in enough fat" and adding liquid fats to anything is not part of the plan.

Two other people I now follow are Dr Ted Naiman and Marty Kendall, who reinforce the lower fat message even more, especially when weight loss has stopped short of your goal, even though blood sugar is very stable. One of Ted's famous memes is "If your body is already HF, then all you really need is the LC." Marty is all about nutrient density, and refined oils have few micronutrients and no protein.