I think Greg pretty much summed it up. You're burning more than you could possibly replace, so you're just eating as much as your body can process to minimize the deficit.
This is something that's very familiar to pro cyclists competing in multi-day stage races. Because cycling is low-impact, biomechanical stress & fatigue generally isn't a limiting factor, so these guys have phenomenal cardiovascular/metabolic capacity. I'd guess that they average over 1000 cal/hr for about 5 hours per day. Typically, a rider in a 3-week Grand Tour will need to eat 7-8,000 calories per day. What's interesting is that many elite riders don't have the ability to recover well enough to be competitive over 3 weeks, and that this recovery ability (including the ability to process so much food every day) seems to be largely genetic (i.e. refractory to training), and not well correlated with other aspects of physical prowess. Some riders are extremely good at very long single day efforts, just emptying the tank completely with a huge single effort, others are much better at day-after-day recovery. A few can do both, but not many.
I used to race bikes when I was a teenager, but I was never any good. I was certainly nowhere near fast enough over 1 day to get anywhere near a multi-day stage race, since those are only organized for elite amateurs and pros. So it may be that although my top speed is hopeless, I happen to have good multi-day recovery.
I've eaten this much on a single day before, but never tried to do it day-after-day until this hike. I think I could probably process slightly more, maybe 350 calories an hour, if I cut fat content right down – something like the "perpetuum-only" diet that I see Mark Davis tried on the JMT once. Gets pretty heavy to carry that many calories of carbs, though.
I think, unfortunately, that if I'm going to set a really competitive time at something (let's face it, a SOBO record is a little soft!), it would be in going longer distance over equaly difficult unrunnable terrain. i.e. 400-500 miles over terrain where it's difficult to average above 2.5mph. JMT yo-yo I guess, although I'm not sure that back-and-forth is aesthetically very pleasing. And suffering for double the time it's not a selling point!