I wanted to agree that the executioner feels awkward and maybe even incoherent in the story's current incarnation.
It doesn't even make sense for Gina to be so incredulous about how big her mom was in that old picture because by then she's already seen the walking fridge woman that gives no fucks and doesn't particularly care for her job or have any investment in what's going on.
Given what the game is themed on, having the largest character so far coming across as virtually an afterthought is an . . . interesting choice. It would be like casting Roger Federer in The Prince of Tennis as a towel boy.