Rough difference between caffeine carriers: Kola nut and coffee
Kola nut is dried raw and ground, which preserves the caffeine in its natural bond with the tannins. This natural combination makes the caffeine more stomach-friendly, as it is released more slowly but continuously over a longer period.
Coffee is dried, roasted, and ground before preparation. The heating during roasting separates the caffeine from its natural bond, making it available more quickly and providing a short-lived boost. This, of course, heavily depends on the quality of the roast and the bean! So, it's better to drink less but higher-quality coffee.
Caffeine is present in plants in varying concentrations and has different effects and tolerances for sensitive individuals. So, don't be disheartened if you've developed a coffee intolerance. More on the topic: Caffeine allergy or just caffeine intolerance.