I think Eva has hit on the most important rejoinder to this article namely:
it is just not sustainable long term.
I don't think this is just true psychologically, by physiologically. All the answers saying "Of course you'll lose weight if you just calorie restrict" need the qualification "within limits," lest we connote that any-one can not get fat/lost weight if they just choose to eat fewer twinkies. We surely know of lots of people with damaged metabolisms who have starved themselves to no avail. They can't all be lying. Typically just not eating so much can work in the short term, but not in the long term and I'm guessing that it stops working (you stop losing reasonable amounts of weight) before a lot of people cave in and decide to eat more twinkies to meet their calorie requirements. The commonest complaint online in any weight loss context is "
X worked great for me for a a few
weeks, but then I just stopped
losing!
We've also seen from the starvation trials that holding people absolutely rigorously to a calorie deficit long term sounds easy but a) drives them completely insane (at which point, talk of "will-power" and "controlling behaviour" become irrelevant) and b) causes them to gain back even more weight than they lost in the first place. Hence the second most common complaint on the dietosphere, "I lost a lot of weight doing X, but then I gained it all back again, and more!"
I suspect that after more than two months the problem would not be that his finite store of "will-power" would suddenly collapse and he'd feel compelled to gorge on an extra 800 calories of twinkies (or consume an extra 800 calories of whole grains and bananas from his old diet). Rather, the problem would be that his body would adapt to continued starvation in the only way that makes evolutionary sense, namely reducing his calorie expenditure through whatever means possible, including burning through his muscle mass (incidentally, on his facebook page you can see he lost about 2kg lean mass in a month). Once his body successfully adapted to a continued intake of 1800 calories his efforts would be severely diminished, leaving him faced with eating an even lower twinkie diet if he wanted to continue to lose weight, at which point he would simply be pitched into a battle between himself and his body's 200,000 years of evolution).
Oh and btw a diet of doughnuts would plausibly give him a diet of around ~50% fat, doubtless substantially higher than his previous diet of whole grain and banana (hence, why he reduced trigs by 39% no doubt).
Looking at his one sample diet day he actually seems to have consumed 888 calories of carbohydrate, 531 of fat and 176 of protein, for roughly 1600 calories. The ratios would be roughly 55% carbs, 33% fat, 11% protein (and this was a two protein shake day!). Of course, granting that he normally consumed approx 2600 calories, what he was really consuming would have been closer to 34% carbs, ~59% fat, ~11% protein (more protein and less fat, if his body was burning more muscle and less fat).