Why? Brunswick Stew has regular palatable ingredients, certainly nothing out of the ordinary or disgusting to the average American palette. Unless you get the rare version that contains Squirrel.
In a traditional Southern hog-killin' barbecue, no part of the hog goes to waste. The, erm, back end becomes chitlins. Brunswick stew starts with boiling the head.
That's tradition. in any modern BBQ joint, there is almost certainly no head-boiling involved. Less-than-prime meat boiled off the bone, sure. That's what the word "stew" means.