Hi. I think what you may have heard is that you burn more FAT at lower intensities (thus a lower HR). That is because when you are doing aerobic work (endurance activity) your body is tapping into stored fat, especially at lower HR levels. As your HR starts to increase, less fat and more stored carbs are burned. Once in the anaerobic stage, you no longer burn any fat and burn only carbohydrates. However, you also burn more total calories because you are working at higher levels. So if you are looking to burn calories, you must work at higher levels.
Yes, I have also heard of the HIIT which is great for a maximum fat and calorie burn.
Good luck!
Clarissa