Have you heard about these?
It seems like a good idea to me. I know one burns more calories just sitting up opposed to lying in bed. One burns more calories standing up than when sitting or lying. The reason is the muscles are used more for standing just to hold one upright.
Moving around is another matter. Someone carrying a lot of extra weight will burn more calories moving around because of carrying that load. However, carrying a lot of weight will limit how intensive that movement can be and how long it can be done. The lighter person with good muscle strength will ultimately win the calorie burning contest. I saw a study done once where children on a playground were watched. It was noticed that the the heavy group and the normal weight group ate about the same amount of calories but the normal weight kids moved more when out at recess.
I am thinking of the obese in my family. Without even considering calorie intake the obese ones just move less. How about your friends and family?