I agree Karen, denying him access to his education is not an acceptable 'consequence.' That's ridiculous.
As for the "natural consequences" of wilderness, I felt like my son's program used them appropriately. There was nothing contrived or done just for 'make work' sake. If a kid didn't want to contribute in some way to the cooking fire, he/she was free to eat uncooked rice. Their choice -- work for hot food, or eat cold food. Nobody is going to give a shit either way. That doesn't mean the kids who never mastered the bow-drill always ate cold uncooked food. They just had to choose to actively contribute to something that benefited the group meal. Or not.
Not putting up your shelter before a rainstorm was another obvious one. Nobody gives a shit if you want to get soaking wet. If you're too lazy or stubborn to make a small effort to stay out of the rain, that's your business.
The gear was all top notch. In fact, my son still wears the boots when we go out into nowhere, like we did yesterday for a few miles up in the mountains. The sleeping bag is the highest quality one he's ever owned and has been used on 3 camping trips since wilderness. So "natural consequences" did not extend to things like freezing at night or getting blisters from shitty boots that don't fit. Those would be very unnatural, mean-spirited consequences.
Karen earlier said something like her son thought it was "abusive, but in a good way." That's an interesting description that I think my son would agree with. By the time he was done, he really felt like the sleeping bag was optional (at least in summer) and his biggest annoyance was that the hikes were often at a slower pace than he preferred -- due to the pace of the slowest person.
The food sucked, but he feels he got all he needed. Too bad there weren't his favorite treats in each re-supply, or a nice T-bone steak, but there was a lot more than just oats, lentils and rice. So no, forced starvation was not one of the "natural consequences." Since he was already into health food, I think he adjusted to the diet a lot better than a kid who never ate anything but junk food.