Basically.  But it's important to add that "inability to recognize 'non-issue' status" is a core feature of their identity.  That more than almost anything else is what makes them such a chore to tolerate.  I hope this fatigue with hearing parrots parrot on about the shape of the air spreads to the wider culture and they finally realize they've bored their audience into deafness and stop talking.  (I dream a little dream, sometimes)