Caffeine-containing foods and drinks are not allowed on many low carb or car diets because of caffein's influence on insulin. Diabetes Care (2002) published an article describing how excess caffeine caused not only problems with inducing ketosis but also with insulin sensitivity. When this sensitivity is compromised so are the results of any diet and not only a low carbohydrate one.
However, it seems to depend on too many factors to be the must on a low carb diet. One thing to consider is the positive influence of caffeine on lipolysis (fat burning) and general alertness, which is know to greatly influence dieting outcome.
The results of the interplay "ketosis-lipolysis" can be individual, so you can experiment - unless you have medical contraindication regarding strong coffee, tea, and the like.
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