Just completed a remote support session with Adobe Support. The conclusion from Adobe Support is that this issue might not be fixed by Adobe. And since I bought it at a retailer, I've basically wasted $60.
Keep in mind, the webcams listed on the "supported" list are no longer for sale. And the Logitech webcam was released a little over 1 year ago. So I believe Adobe has no intention on fixing their Webcam Recording feature.