Couple of things. One can of Coke/Pepsi has as much fructose as 5-6 large bananas (ripe) to put it in perspective. Easy to drink 3 cans of coke but try eating 15 bananas!
Fructose is almost entirely taken up by the liver and stored as glycogen or converted to triglycerides (if glycogen levels are full). These triglycerides are exported by the liver in the form of VLDL cholesterol particles. Uptake by the liver is not going to be faster after a workout because the fructose transporter is not insulin or exercise mediated. Heavy fructose intake can drive up blood triglycerides but fruit consumption is unlikely to do so because you probably cannot eat enough fruit to make that happen. In any case, if you eat fruit in the morning when liver glycogen levels are low after an overnight fast, you will ensure that the fructose goes towards glycogen storage, rather than triglycerides.
Avoid sugar sweetened drinks (including Gatorade, which is just sugar water) and added sugar in processed food but eat all of the fruit you want. There is much more to fruit than carbohydrates (fiber, micronutrients, bioligically active compounds). Doesn't matter much when you eat it but morning is a good choice.
