Yes, that’s eaxctly what I’ve been doing, but my issue is that you can’t simply plug in the CCK and USB and be sure that the USB audio will work (at least using the stock camera app). If you don’t plug the CCK into the lightning port, USB cable into the CCK and open the app in exactly the correct order you can’t be sure that it will use the USB audio. What makes it even worse is that there’s no visual indicator (or setting) on the camera app to show whether the USB audio is activated or whether it’s recording using the iPhone’s internal mics.
I was hoping there woud be a camera app which allows you to select using internal mics or USB audio. On my old Android phone there was a “pro” camera app which had that setting, so it was clear that USB audio was enabled.