Yep. I've joked a fair amount that watching Casablanca now is very likely to make you think "this is full of clichés" until you realize, "wait, this is where all these clichés actually started, isn't it?"
Similar to attending a play from The Repertory and hearing all the quotes that originate from it. Especially Shakespeare. But also the rest of the usual suspects. I'm shocked (Shocked!) to learn that movies borrow from Casablanca or Shakespeare.