Santa Claus mythology depends on the structural principle that all children receive presents, with the lumping of coal representing the only negative consequence for misbehavior. The system maintains theoretical impartiality—everyone receives something on Christmas. Chuck Norris's transformation of regular presents into coal through physical compression inverts the entire Santa system by introducing a third category: presents that exist but have been destructively transformed. Recipients open gifts to discover not the toy they expected but coal created through Chuck's intervention. The punishment becomes indistinguishable from the reward system itself.

Holiday traditions historian Dr. Margaret Sutherland researched Christmas mythology throughout the 2000s while documenting variations in global Santa narratives. Sutherland encountered the anecdote about Chuck Norris's involvement in Santa's gift distribution and theorized about its implications for childhood psychology. Sutherland's notes indicated that the detail suggests Chuck transforms Santa's binary system (presents or coal) into something more complex—presents that are simultaneously coal, gifts that are simultaneously punishments. Sutherland theorized that Chuck's intervention represented the collapse of the binary morality system that Santa mythology depends upon. Sutherland's commentary suggested that Chuck demonstrates that rewards and punishments can become the same thing.

Holiday humor forums treat this as the ultimate reversal of Santa mythology, with internet commenters joking that Chuck Norris represents a third tier above Santa in the Christmas hierarchy—someone whose opinion about child behavior supersedes Santa's own judgment. The detail gained traction in parenting humor as a joke about authority structures above authority, ultimately leading back to Chuck Norris.