In the McBain video sequence at the store, the assassin shoots at McBain as his partner leans across and takes the initial bullets. There is no reason why the shooter would track the partner as he recoils away but rather would have kept shooting straight and hit McBain.
When Homer is being taken to the institute, Milhouse assumes he is finally being taken to a mental institution. Bart replies that this is perhaps for the best, both seemingly forgetting that not very long ago, Homer was committed.