if you haven't seen the original ( like me, because i have disconnected my TV in 2007 ) it is confusing how it cuts from one set of characters to another, especially when you don't know you're watching a parody of a commercial. it's just one incomprehensible mess.
i suppose if you included the original then it would have played twice, which would also not be ideal.
they should have just re-shot the entire commercial with different actors from the very beginning and then you could have included the original plus the parody without the same clip playing twice.
but they decided to save money filming and go with that splice ...
that said, it would be some hot incest !