I firmly believe the CPC-P contributed to my knowledge and demonstration of skill sets in the arena of understanding insurance concepts, auditing and identifying potential claim issues in the payer environment and solidly grasping reimbursement methodologies. That is subjective, but valid.
As for other offers, I consulted in the past and have been with my current employer for 4 years. I have no interest in other ventures, but still receive calls and emails from headhunters at consulting firms. Therefore, my experience is probably skewed. If you've experience as a consultant, it's difficult to get the recruiters off your "scent."
The answer you're looking for is one you've already got. Take a look at your career goals and interests and the setting(s) in which you plan to work. If the payer side is on that list, then the credential would probably benefit you. There are also several people who have the CPC-P but work on the provider side . . . Good luck to you, whatever your decision.