Roman Catholics often fail to apply their arguments about church authority consistently. I gave some examples in a recent thread started by Matthew Schultz.
We often see Catholics suggest that it's unacceptable to follow an authority that wasn't handed down in unbroken succession or an authority that you chose to submit to, for instance. If the authority can't trace itself back far enough, or you chose which authority to submit to, then what's the significance of submitting to that authority?
Think about how Catholics do the same things in their own lives. Many state authorities originated through revolution, the exploration of uninhabited parts of the world, or some other means that didn't involve an unbroken succession going to back to some figure who already had state authority or was in submission to higher state authorities. Yet, Catholics who live in such parts of the world submit to those government entities today. And Catholics often choose to become Catholic. They also often choose which local Catholic church to attend.