In New Orleans, we are at a major disadvantage since we live to eat. Because of my liver, I can't live to drink, and because of my age and other infirmities, let's just say that food is all I've got left in the proud OR guilty pleasures department.
Jon, you are correct that faster weight loss is possible if you have more weight to lose, but that extra weight is NOT the governing factor. It all comes down to your liver and kidneys. Weight loss involves tissue breakdown. The breakdown products must be excreted because otherwise, they interfere with metabolism. Has to do with the fact that metabolism produces X in the blood, but chemical potential of X ALREADY in the blood slows down further metabolism of X. If you lose too much too fast, your ability to filter the blood goes haywire and you risk the potential of metabolic shock due to, essentially, counter-potential. So if you have a healthy liver and kidneys you MIGHT make more than about a pound a week. If not, you will do more harm than good. This is why any reputable weight-loss method will recommend that you keep in touch with your physician during your dieting process.
If you want to have a mental model of this counter-pressure, imagine inflating a tire by mouth. You can put air in the tire up to the hardest you can push your chest muscles. But at some point, you simply cannot blow harder into the tire than X number of pounds because either your mouth, your lungs, or your chest and diaphragm are at their limit. No more air can go in because the counter-pressure from the air already in the tire resists your actions. And I picked a tire because it is non-stretchy.
So yes, bigger people have more to lose, but NO, it is not automatic that they can lose faster. It is their liver and kidneys that make the difference. Since I have a liver disorder, that is why I offered my joke about six-packs. I am not able to lose fast.