Interestingly - the fundamental aspect of what makes the Atkins diet what it is, - is that question of re-introducing carbs to the point just below where you tip into the insulin response... but it was really a detail that got drowned in the flood of opprobrium..
I knew nothing about the Atkins diet at all prior to this year - and was generally clueless...
But there can be no doubt that we are all different, and what works for one may be no good for another. For a whole bunch of reasons..
Personally, I don't like to do anything prescribed (you can just diagnose me as congenitally an awkward ******...) and prefer to feel like I understand why I'm doing a thing, as it's more likely to work compared to being told what to do.
That makes me a pain in the proverbial, but so far I'm still on speaking terms with my GP...
I'm still searching for a kind of explanation of everything, but my sense is that most "starting points" tend to be too focussed on the one thing.. so low (or near zero) carb tends to focus on that, when you cannot consider how you metabolise Carbs without understanding the balance of hormones that affect and are affected by putting carbs in your mouth, and with what else..
For me, I'm not thinking in terms of "Keto until I can't stand it any more" - it's more a question of introducing fat (with a corresponding drop in sugar, starches and seed oils) - some intermittent fasting (not for everyone, sure, but it's about a balance between eating and not eating, and again, understanding the hormonal systems that are affected by being out of that balance) - and monitoring blood glucose and Ketones, so that I can see something I understand to be an improving picture of Insulin Sensitivity.
That seems to be happening - and I feel well, and not hungry - and mentally great (I mean, better than I have in years) - but I'm also mindful of good sleep, and ...er... mindfulness; learning to practice better awareness through meditation.
It's all one incredibly complex system, and yours is unique, so learning what works can be a voyage of discovery; and a really positive thing... I genuinely feel blessed to have been diagnosed, because of all the things I've been forced to learn - I can't now imagine treating my body so carelessly (and I can see how that sounds even as I write it, but it's true)
... though, only days ago, I went through what I now realise was a form of Keto-flu... so, you know, experimentation has it's ups and downs....