AC certainly understands the differnce between the two.
Why does he use one to describe the other then? (He didn't need to be inaccurate in order to get the benefit of the pun -- I immediately found him a film about transsexual parents, which he refused to use. Besides, it turns out that noncentz had already used the pun -- accurately.)
The good doctor refused to use your suggestion not because he is incapable of understanding what is a relatively simple concept, but because he thinks you're a pompous self-righteous prick ...