When you lose about 3500 calories of energy via this process, you have burned a pound of fat.
That doesn't really have anything to do with the conversation though.
The biophysical origin (I'm a biophysicist) of weight change as a function of energy use, eating and excretion is a bit more complicated than that.
Like you said, it’s a bit more complicated than that and every body is different. But burning roughly 3500 calories will result in the body weighing roughly 1lb less (accounting for food and water intake and loss).
If it didn’t work this way, every bodybuilder and fitness enthusiast on the planet would have a very different approach to their diet.
1. They're stressed and therefor eating less, especially if they're spending the daytimes of the tournament playing games - hardly conducive to appetite, and in fact I expect many will avoid food purposefully to try to not get that sleepy-full feeling.
2. To a much lesser degree, increased stress == increased heartrate == increased BMR.
3. Maybe, and I hate to speculate because of the stigma (personally I don't care if chess players are doing drugs), some amphetamine use, or at least caffeine, all of which can suppress appetate further.
I personally very much doubt that it's the thinking hard that's actually burning calories.
Unfortunately, I can't even read the linked post! It's paywall'd.
I can drop 10 pounds this week trivially by triggering a water flush (change in diet), essentially at will. Wife absolutely hates it, but that’s water weight.