An ingredient's effect in a laboratory or a pharmacology discussion is not the same thing as evidence that an everyday beverage produces a useful personal outcome. The source discusses caffeine, metabolism and older medicine combinations, but its historical examples should not become product recommendations.
In particular, descriptions of fat oxidation or stimulant effects do not justify promising that a coffee or supplement will deliver weight loss. A drink also differs from a medicine formulated and used for a specific purpose. Avoid importing treatment instructions from a general coffee FAQ.
Read marketing claims with that distinction in mind. Ask what product and outcome were actually studied, rather than inferring a benefit from a related mechanism or a familiar ingredient name. For questions involving a health condition, a medicine or a weight-management plan, seek qualified advice. Here, the appropriate editorial conclusion is to keep the discussion of caffeine's chemistry separate from an unsupported promise about what a consumer should take.
The conversation
A good question can make a better brew.