There's a classic French technique called rilettes that involves cooking pig parts in stock or fat and then mincing them to a spreadable paste. It's delicious, especially with duck confit as a base instead of simmered pork, and the easiest way to make it is very similar to what Oliver did.
And of course Oliver knows that. He's had far more cooking experience than I will ever have. He knows he's bullshitting those kids. He could gross them out just as easily by showing them the pink and red bits near the wing joints ("look at all that chicken blood! ewwww!"), but he doesn't; he points to them and says "this is the expensive bit right here".
When asked what to do with the chicken carcass, the kids said "throw it out". The proper response to that statement is "no, idiot, find a way to use it" (as a parent of 2 school age children let me argue forcefully for the culinary idiocy of 8 year olds). Instead, Oliver honors the kids and their stupid, damaging assumption about how meat works. Shameful.
I think many omnivores forget exactly where their food comes from which is what's really unnatural about all of this.
I don't understand people who find this disgusting, but have no problem with the fact that they're consuming the flesh (and possibly skin and some other bits) of what used to be animals that moved, breathed, defecated, etc.
Look, you're eating stuff that used to have a life of its own. Deal with it. You don't need me to go into details about eggs or sausages, do you?