And cardio burns calories, sure, but have you tracked your caloric burn when exercising? You can't really do active cardio to burn more than you eat -- not without going into a deficit you have to earn back later. Ketosis isn't as fast as breaking down carbohydrates, so you're right, you don't want to do fasted cardio, usually, unless it's very restricted -- or you load up on carbs via a smoothie or something similar high-availability. I do brisk (~110 bpm average) 30 minute walks during the fasting window early in the morning, but that's about the limit.