I am jumping late on this thread.
Since I restarted BFL last week I follow the BFL diet with high protein, high carb and low fat.

When I started with BFL I tried Atkins with and without refeed, but I lost a lot of engery and had problems to adjust my carb intake. Even I do LF now, I learnt a lot doing Atkins about my eating habits. Now I avoid products with simple sugars like protein bars or sweetened yoghurt and I still use artifical sweetner for my Cappuchino e.g.