It sure does. I've been east twice and heard and saw CAWRs frequently. Loved them.
At the opposite end of the musical scale is our resident cactus wrens. They sound like an old truck that won't turn over: churgchurgchurgchurgchurhchurg... Lol.
I don't know if you watch "The Walking Dead," but the sound effects people keep adding cactus wrens in the background. And it's filmed in Georgia! But you hear -- but never see, of course-- cactus wrens constantly. Funny stuff!
That’s great! :)