I recently discovered the Youtube channel It’s okay to be smart, hosted by Joe Hanson, which presents bite-sized chunks of general science at about my level of general science. He finishes each video saying “Stay curious”. I assume that means wondering and eager to learn or know, and not causing interest and speculation by being unusual. I assume the first meaning came first. Because of the two meanings, it is (just) possible to say “Very curious people are often very curious”.